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Finding the Fourth Proportional to 78,207.93, 107,927.49 and 42,398.50

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Solution

The fourth proportional to 78,207.93, 107,927.49 and 42,398.50 is: 58,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,207.93 : 107,927.49 = 42,398.50 : x
  2. Step 2: Convert to fraction form
    78,207.93/107,927.49 = 42,398.50/x
  3. Step 3: Cross multiply
    78,207.93x = 107,927.49 × 42,398.50
  4. Step 4: Simplify right side
    78,207.93x = 4,575,963,684.77
  5. Step 5: Solve for x
    x = 4,575,963,684.77/78,207.93
  6. Step 6: Final answer
    x = 58,510.23

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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.