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Finding the Fourth Proportional to 42,564.52, 58,723.05 and 24,652.99

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Solution

The fourth proportional to 42,564.52, 58,723.05 and 24,652.99 is: 34,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564.52 : 58,723.05 = 24,652.99 : x
  2. Step 2: Convert to fraction form
    42,564.52/58,723.05 = 24,652.99/x
  3. Step 3: Cross multiply
    42,564.52x = 58,723.05 × 24,652.99
  4. Step 4: Simplify right side
    42,564.52x = 1,447,698,764.42
  5. Step 5: Solve for x
    x = 1,447,698,764.42/42,564.52
  6. Step 6: Final answer
    x = 34,011.87

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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.