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Finding the Fourth Proportional to 77,376.18, 106,779.45 and 43,842.18

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Solution

The fourth proportional to 77,376.18, 106,779.45 and 43,842.18 is: 60,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,376.18 : 106,779.45 = 43,842.18 : x
  2. Step 2: Convert to fraction form
    77,376.18/106,779.45 = 43,842.18/x
  3. Step 3: Cross multiply
    77,376.18x = 106,779.45 × 43,842.18
  4. Step 4: Simplify right side
    77,376.18x = 4,681,443,867.20
  5. Step 5: Solve for x
    x = 4,681,443,867.20/77,376.18
  6. Step 6: Final answer
    x = 60,502.39

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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.