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Finding the Fourth Proportional to 58,549, 87,823.52 and 21,613

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Solution

The fourth proportional to 58,549, 87,823.52 and 21,613 is: 32,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,549 : 87,823.52 = 21,613 : x
  2. Step 2: Convert to fraction form
    58,549/87,823.52 = 21,613/x
  3. Step 3: Cross multiply
    58,549x = 87,823.52 × 21,613
  4. Step 4: Simplify right side
    58,549x = 1,898,129,737.76
  5. Step 5: Solve for x
    x = 1,898,129,737.76/58,549
  6. Step 6: Final answer
    x = 32,419.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.