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Finding the Fourth Proportional to 56,461.74, 84,700.65 and 18,502.88

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Solution

The fourth proportional to 56,461.74, 84,700.65 and 18,502.88 is: 27,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461.74 : 84,700.65 = 18,502.88 : x
  2. Step 2: Convert to fraction form
    56,461.74/84,700.65 = 18,502.88/x
  3. Step 3: Cross multiply
    56,461.74x = 84,700.65 × 18,502.88
  4. Step 4: Simplify right side
    56,461.74x = 1,567,206,085.20
  5. Step 5: Solve for x
    x = 1,567,206,085.20/56,461.74
  6. Step 6: Final answer
    x = 27,756.96

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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.