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Finding the Fourth Proportional to 102,560.40, 153,811.80 and 32,461.20

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Solution

The fourth proportional to 102,560.40, 153,811.80 and 32,461.20 is: 48,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,560.40 : 153,811.80 = 32,461.20 : x
  2. Step 2: Convert to fraction form
    102,560.40/153,811.80 = 32,461.20/x
  3. Step 3: Cross multiply
    102,560.40x = 153,811.80 × 32,461.20
  4. Step 4: Simplify right side
    102,560.40x = 4,992,915,602.16
  5. Step 5: Solve for x
    x = 4,992,915,602.16/102,560.40
  6. Step 6: Final answer
    x = 48,682.68

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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.