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Finding the Fourth Proportional to 56,808.98, 85,061.06 and 31,777.74

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Solution

The fourth proportional to 56,808.98, 85,061.06 and 31,777.74 is: 47,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,808.98 : 85,061.06 = 31,777.74 : x
  2. Step 2: Convert to fraction form
    56,808.98/85,061.06 = 31,777.74/x
  3. Step 3: Cross multiply
    56,808.98x = 85,061.06 × 31,777.74
  4. Step 4: Simplify right side
    56,808.98x = 2,703,048,209.08
  5. Step 5: Solve for x
    x = 2,703,048,209.08/56,808.98
  6. Step 6: Final answer
    x = 47,581.36

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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.