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Finding the Fourth Proportional to 78,031.70, 107,684.26 and 45,759.76

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Solution

The fourth proportional to 78,031.70, 107,684.26 and 45,759.76 is: 63,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,031.70 : 107,684.26 = 45,759.76 : x
  2. Step 2: Convert to fraction form
    78,031.70/107,684.26 = 45,759.76/x
  3. Step 3: Cross multiply
    78,031.70x = 107,684.26 × 45,759.76
  4. Step 4: Simplify right side
    78,031.70x = 4,927,605,893.38
  5. Step 5: Solve for x
    x = 4,927,605,893.38/78,031.70
  6. Step 6: Final answer
    x = 63,148.77

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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.