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Finding the Fourth Proportional to 78,427.98, 108,319.32 and 51,689.07

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Solution

The fourth proportional to 78,427.98, 108,319.32 and 51,689.07 is: 71,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,427.98 : 108,319.32 = 51,689.07 : x
  2. Step 2: Convert to fraction form
    78,427.98/108,319.32 = 51,689.07/x
  3. Step 3: Cross multiply
    78,427.98x = 108,319.32 × 51,689.07
  4. Step 4: Simplify right side
    78,427.98x = 5,598,924,913.83
  5. Step 5: Solve for x
    x = 5,598,924,913.83/78,427.98
  6. Step 6: Final answer
    x = 71,389.38

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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.