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Finding the Fourth Proportional to 78,700.26, 108,606.17 and 42,890.21

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Solution

The fourth proportional to 78,700.26, 108,606.17 and 42,890.21 is: 59,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,700.26 : 108,606.17 = 42,890.21 : x
  2. Step 2: Convert to fraction form
    78,700.26/108,606.17 = 42,890.21/x
  3. Step 3: Cross multiply
    78,700.26x = 108,606.17 × 42,890.21
  4. Step 4: Simplify right side
    78,700.26x = 4,658,141,168.81
  5. Step 5: Solve for x
    x = 4,658,141,168.81/78,700.26
  6. Step 6: Final answer
    x = 59,188.38

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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.