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Finding the Fourth Proportional to 105,643, 145,761.24 and 62,632.57

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Solution

The fourth proportional to 105,643, 145,761.24 and 62,632.57 is: 86,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,643 : 145,761.24 = 62,632.57 : x
  2. Step 2: Convert to fraction form
    105,643/145,761.24 = 62,632.57/x
  3. Step 3: Cross multiply
    105,643x = 145,761.24 × 62,632.57
  4. Step 4: Simplify right side
    105,643x = 9,129,401,067.59
  5. Step 5: Solve for x
    x = 9,129,401,067.59/105,643
  6. Step 6: Final answer
    x = 86,417.47

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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.