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Finding the Fourth Proportional to 75,159.60, 103,737.30 and 46,859.82

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Solution

The fourth proportional to 75,159.60, 103,737.30 and 46,859.82 is: 64,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,159.60 : 103,737.30 = 46,859.82 : x
  2. Step 2: Convert to fraction form
    75,159.60/103,737.30 = 46,859.82/x
  3. Step 3: Cross multiply
    75,159.60x = 103,737.30 × 46,859.82
  4. Step 4: Simplify right side
    75,159.60x = 4,861,111,205.29
  5. Step 5: Solve for x
    x = 4,861,111,205.29/75,159.60
  6. Step 6: Final answer
    x = 64,677.18

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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.