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Finding the Fourth Proportional to 58,575.84, 87,869.64 and 16,456.02

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Solution

The fourth proportional to 58,575.84, 87,869.64 and 16,456.02 is: 24,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,575.84 : 87,869.64 = 16,456.02 : x
  2. Step 2: Convert to fraction form
    58,575.84/87,869.64 = 16,456.02/x
  3. Step 3: Cross multiply
    58,575.84x = 87,869.64 × 16,456.02
  4. Step 4: Simplify right side
    58,575.84x = 1,445,984,553.23
  5. Step 5: Solve for x
    x = 1,445,984,553.23/58,575.84
  6. Step 6: Final answer
    x = 24,685.68

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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.