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Finding the Fourth Proportional to 105,748, 145,932.24 and 58,644

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Solution

The fourth proportional to 105,748, 145,932.24 and 58,644 is: 80,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,748 : 145,932.24 = 58,644 : x
  2. Step 2: Convert to fraction form
    105,748/145,932.24 = 58,644/x
  3. Step 3: Cross multiply
    105,748x = 145,932.24 × 58,644
  4. Step 4: Simplify right side
    105,748x = 8,558,050,282.56
  5. Step 5: Solve for x
    x = 8,558,050,282.56/105,748
  6. Step 6: Final answer
    x = 80,928.72

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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.