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Finding the Fourth Proportional to 54,952.60, 82,364.10 and 28,643.80

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Solution

The fourth proportional to 54,952.60, 82,364.10 and 28,643.80 is: 42,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.60 : 82,364.10 = 28,643.80 : x
  2. Step 2: Convert to fraction form
    54,952.60/82,364.10 = 28,643.80/x
  3. Step 3: Cross multiply
    54,952.60x = 82,364.10 × 28,643.80
  4. Step 4: Simplify right side
    54,952.60x = 2,359,220,807.58
  5. Step 5: Solve for x
    x = 2,359,220,807.58/54,952.60
  6. Step 6: Final answer
    x = 42,931.92

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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.