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Finding the Fourth Proportional to 78,669.93, 108,564.17 and 42,859.83

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Solution

The fourth proportional to 78,669.93, 108,564.17 and 42,859.83 is: 59,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,669.93 : 108,564.17 = 42,859.83 : x
  2. Step 2: Convert to fraction form
    78,669.93/108,564.17 = 42,859.83/x
  3. Step 3: Cross multiply
    78,669.93x = 108,564.17 × 42,859.83
  4. Step 4: Simplify right side
    78,669.93x = 4,653,041,870.29
  5. Step 5: Solve for x
    x = 4,653,041,870.29/78,669.93
  6. Step 6: Final answer
    x = 59,146.38

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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.