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Finding the Fourth Proportional to 74,732, 103,132.32 and 41,200.16

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Solution

The fourth proportional to 74,732, 103,132.32 and 41,200.16 is: 56,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,732 : 103,132.32 = 41,200.16 : x
  2. Step 2: Convert to fraction form
    74,732/103,132.32 = 41,200.16/x
  3. Step 3: Cross multiply
    74,732x = 103,132.32 × 41,200.16
  4. Step 4: Simplify right side
    74,732x = 4,249,068,085.17
  5. Step 5: Solve for x
    x = 4,249,068,085.17/74,732
  6. Step 6: Final answer
    x = 56,857.41

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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.