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Finding the Fourth Proportional to 91,754.71, 137,409.82 and 46,657.42

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Solution

The fourth proportional to 91,754.71, 137,409.82 and 46,657.42 is: 69,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,754.71 : 137,409.82 = 46,657.42 : x
  2. Step 2: Convert to fraction form
    91,754.71/137,409.82 = 46,657.42/x
  3. Step 3: Cross multiply
    91,754.71x = 137,409.82 × 46,657.42
  4. Step 4: Simplify right side
    91,754.71x = 6,411,187,223.70
  5. Step 5: Solve for x
    x = 6,411,187,223.70/91,754.71
  6. Step 6: Final answer
    x = 69,873.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.