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Finding the Fourth Proportional to 91,924, 137,821.68 and 46,959.28

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Solution

The fourth proportional to 91,924, 137,821.68 and 46,959.28 is: 70,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,924 : 137,821.68 = 46,959.28 : x
  2. Step 2: Convert to fraction form
    91,924/137,821.68 = 46,959.28/x
  3. Step 3: Cross multiply
    91,924x = 137,821.68 × 46,959.28
  4. Step 4: Simplify right side
    91,924x = 6,472,006,861.19
  5. Step 5: Solve for x
    x = 6,472,006,861.19/91,924
  6. Step 6: Final answer
    x = 70,406.06

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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.