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Finding the Fourth Proportional to 56,508.50, 77,984.16 and 31,358

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Solution

The fourth proportional to 56,508.50, 77,984.16 and 31,358 is: 43,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,508.50 : 77,984.16 = 31,358 : x
  2. Step 2: Convert to fraction form
    56,508.50/77,984.16 = 31,358/x
  3. Step 3: Cross multiply
    56,508.50x = 77,984.16 × 31,358
  4. Step 4: Simplify right side
    56,508.50x = 2,445,427,289.28
  5. Step 5: Solve for x
    x = 2,445,427,289.28/56,508.50
  6. Step 6: Final answer
    x = 43,275.39

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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.