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Finding the Fourth Proportional to 52,807.38, 72,862.84 and 31,303.90

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Solution

The fourth proportional to 52,807.38, 72,862.84 and 31,303.90 is: 43,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807.38 : 72,862.84 = 31,303.90 : x
  2. Step 2: Convert to fraction form
    52,807.38/72,862.84 = 31,303.90/x
  3. Step 3: Cross multiply
    52,807.38x = 72,862.84 × 31,303.90
  4. Step 4: Simplify right side
    52,807.38x = 2,280,891,057.08
  5. Step 5: Solve for x
    x = 2,280,891,057.08/52,807.38
  6. Step 6: Final answer
    x = 43,192.66

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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.