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Finding the Fourth Proportional to 74,200.16, 102,397.52 and 40,664

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Solution

The fourth proportional to 74,200.16, 102,397.52 and 40,664 is: 56,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200.16 : 102,397.52 = 40,664 : x
  2. Step 2: Convert to fraction form
    74,200.16/102,397.52 = 40,664/x
  3. Step 3: Cross multiply
    74,200.16x = 102,397.52 × 40,664
  4. Step 4: Simplify right side
    74,200.16x = 4,163,892,753.28
  5. Step 5: Solve for x
    x = 4,163,892,753.28/74,200.16
  6. Step 6: Final answer
    x = 56,117.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.