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Finding the Fourth Proportional to 56,294.72, 77,690.16 and 32,420.96

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Solution

The fourth proportional to 56,294.72, 77,690.16 and 32,420.96 is: 44,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294.72 : 77,690.16 = 32,420.96 : x
  2. Step 2: Convert to fraction form
    56,294.72/77,690.16 = 32,420.96/x
  3. Step 3: Cross multiply
    56,294.72x = 77,690.16 × 32,420.96
  4. Step 4: Simplify right side
    56,294.72x = 2,518,789,569.75
  5. Step 5: Solve for x
    x = 2,518,789,569.75/56,294.72
  6. Step 6: Final answer
    x = 44,742.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.