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Finding the Fourth Proportional to 44,678.35, 61,652.28 and 24,535

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Solution

The fourth proportional to 44,678.35, 61,652.28 and 24,535 is: 33,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,678.35 : 61,652.28 = 24,535 : x
  2. Step 2: Convert to fraction form
    44,678.35/61,652.28 = 24,535/x
  3. Step 3: Cross multiply
    44,678.35x = 61,652.28 × 24,535
  4. Step 4: Simplify right side
    44,678.35x = 1,512,638,689.80
  5. Step 5: Solve for x
    x = 1,512,638,689.80/44,678.35
  6. Step 6: Final answer
    x = 33,856.19

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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.