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Finding the Fourth Proportional to 58,523.52, 87,581.16 and 47,870.40

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Solution

The fourth proportional to 58,523.52, 87,581.16 and 47,870.40 is: 71,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,523.52 : 87,581.16 = 47,870.40 : x
  2. Step 2: Convert to fraction form
    58,523.52/87,581.16 = 47,870.40/x
  3. Step 3: Cross multiply
    58,523.52x = 87,581.16 × 47,870.40
  4. Step 4: Simplify right side
    58,523.52x = 4,192,545,161.66
  5. Step 5: Solve for x
    x = 4,192,545,161.66/58,523.52
  6. Step 6: Final answer
    x = 71,638.64

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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.