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Finding the Fourth Proportional to 65,963.10, 91,024.58 and 42,087.14

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Solution

The fourth proportional to 65,963.10, 91,024.58 and 42,087.14 is: 58,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.10 : 91,024.58 = 42,087.14 : x
  2. Step 2: Convert to fraction form
    65,963.10/91,024.58 = 42,087.14/x
  3. Step 3: Cross multiply
    65,963.10x = 91,024.58 × 42,087.14
  4. Step 4: Simplify right side
    65,963.10x = 3,830,963,892.00
  5. Step 5: Solve for x
    x = 3,830,963,892.00/65,963.10
  6. Step 6: Final answer
    x = 58,077.38

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Why These Related Problems?

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