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Finding the Fourth Proportional to 75,632, 104,372.16 and 42,097.28

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Solution

The fourth proportional to 75,632, 104,372.16 and 42,097.28 is: 58,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,632 : 104,372.16 = 42,097.28 : x
  2. Step 2: Convert to fraction form
    75,632/104,372.16 = 42,097.28/x
  3. Step 3: Cross multiply
    75,632x = 104,372.16 × 42,097.28
  4. Step 4: Simplify right side
    75,632x = 4,393,784,043.72
  5. Step 5: Solve for x
    x = 4,393,784,043.72/75,632
  6. Step 6: Final answer
    x = 58,094.25

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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.