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Finding the Fourth Proportional to 58,377.12, 80,557.12 and 34,506

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Solution

The fourth proportional to 58,377.12, 80,557.12 and 34,506 is: 47,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,377.12 : 80,557.12 = 34,506 : x
  2. Step 2: Convert to fraction form
    58,377.12/80,557.12 = 34,506/x
  3. Step 3: Cross multiply
    58,377.12x = 80,557.12 × 34,506
  4. Step 4: Simplify right side
    58,377.12x = 2,779,703,982.72
  5. Step 5: Solve for x
    x = 2,779,703,982.72/58,377.12
  6. Step 6: Final answer
    x = 47,616.33

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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.