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Finding the Fourth Proportional to 56,182.89, 77,530.91 and 31,031.85

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Solution

The fourth proportional to 56,182.89, 77,530.91 and 31,031.85 is: 42,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,182.89 : 77,530.91 = 31,031.85 : x
  2. Step 2: Convert to fraction form
    56,182.89/77,530.91 = 31,031.85/x
  3. Step 3: Cross multiply
    56,182.89x = 77,530.91 × 31,031.85
  4. Step 4: Simplify right side
    56,182.89x = 2,405,927,414.32
  5. Step 5: Solve for x
    x = 2,405,927,414.32/56,182.89
  6. Step 6: Final answer
    x = 42,823.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.