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Finding the Fourth Proportional to 67,050.50, 100,575.76 and 17,802.50

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Solution

The fourth proportional to 67,050.50, 100,575.76 and 17,802.50 is: 26,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,050.50 : 100,575.76 = 17,802.50 : x
  2. Step 2: Convert to fraction form
    67,050.50/100,575.76 = 17,802.50/x
  3. Step 3: Cross multiply
    67,050.50x = 100,575.76 × 17,802.50
  4. Step 4: Simplify right side
    67,050.50x = 1,790,499,967.40
  5. Step 5: Solve for x
    x = 1,790,499,967.40/67,050.50
  6. Step 6: Final answer
    x = 26,703.75

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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.