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Finding the Fourth Proportional to 102,045.58, 153,068.67 and 30,968.80

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Solution

The fourth proportional to 102,045.58, 153,068.67 and 30,968.80 is: 46,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.58 : 153,068.67 = 30,968.80 : x
  2. Step 2: Convert to fraction form
    102,045.58/153,068.67 = 30,968.80/x
  3. Step 3: Cross multiply
    102,045.58x = 153,068.67 × 30,968.80
  4. Step 4: Simplify right side
    102,045.58x = 4,740,353,027.50
  5. Step 5: Solve for x
    x = 4,740,353,027.50/102,045.58
  6. Step 6: Final answer
    x = 46,453.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.