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Finding the Fourth Proportional to 56,294.56, 77,674.98 and 32,414.95

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Solution

The fourth proportional to 56,294.56, 77,674.98 and 32,414.95 is: 44,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294.56 : 77,674.98 = 32,414.95 : x
  2. Step 2: Convert to fraction form
    56,294.56/77,674.98 = 32,414.95/x
  3. Step 3: Cross multiply
    56,294.56x = 77,674.98 × 32,414.95
  4. Step 4: Simplify right side
    56,294.56x = 2,517,830,811.60
  5. Step 5: Solve for x
    x = 2,517,830,811.60/56,294.56
  6. Step 6: Final answer
    x = 44,726.00

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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.