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Finding the Fourth Proportional to 58,117.74, 87,191.24 and 16,564.74

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Solution

The fourth proportional to 58,117.74, 87,191.24 and 16,564.74 is: 24,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,117.74 : 87,191.24 = 16,564.74 : x
  2. Step 2: Convert to fraction form
    58,117.74/87,191.24 = 16,564.74/x
  3. Step 3: Cross multiply
    58,117.74x = 87,191.24 × 16,564.74
  4. Step 4: Simplify right side
    58,117.74x = 1,444,300,138.05
  5. Step 5: Solve for x
    x = 1,444,300,138.05/58,117.74
  6. Step 6: Final answer
    x = 24,851.28

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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.