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Finding the Fourth Proportional to 105,432.48, 145,482.48 and 62,982

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Solution

The fourth proportional to 105,432.48, 145,482.48 and 62,982 is: 86,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432.48 : 145,482.48 = 62,982 : x
  2. Step 2: Convert to fraction form
    105,432.48/145,482.48 = 62,982/x
  3. Step 3: Cross multiply
    105,432.48x = 145,482.48 × 62,982
  4. Step 4: Simplify right side
    105,432.48x = 9,162,777,555.36
  5. Step 5: Solve for x
    x = 9,162,777,555.36/105,432.48
  6. Step 6: Final answer
    x = 86,906.59

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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.