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Finding the Fourth Proportional to 69,364, 95,705.61 and 42,139.29

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Solution

The fourth proportional to 69,364, 95,705.61 and 42,139.29 is: 58,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,364 : 95,705.61 = 42,139.29 : x
  2. Step 2: Convert to fraction form
    69,364/95,705.61 = 42,139.29/x
  3. Step 3: Cross multiply
    69,364x = 95,705.61 × 42,139.29
  4. Step 4: Simplify right side
    69,364x = 4,032,966,454.42
  5. Step 5: Solve for x
    x = 4,032,966,454.42/69,364
  6. Step 6: Final answer
    x = 58,142.07

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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.