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Finding the Fourth Proportional to 56,484.52, 77,948.71 and 31,334.02

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Solution

The fourth proportional to 56,484.52, 77,948.71 and 31,334.02 is: 43,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,484.52 : 77,948.71 = 31,334.02 : x
  2. Step 2: Convert to fraction form
    56,484.52/77,948.71 = 31,334.02/x
  3. Step 3: Cross multiply
    56,484.52x = 77,948.71 × 31,334.02
  4. Step 4: Simplify right side
    56,484.52x = 2,442,446,438.11
  5. Step 5: Solve for x
    x = 2,442,446,438.11/56,484.52
  6. Step 6: Final answer
    x = 43,240.99

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Why These Related Problems?

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