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Finding the Fourth Proportional to 31,070.50, 42,840.20 and 25,384.30

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Solution

The fourth proportional to 31,070.50, 42,840.20 and 25,384.30 is: 35,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.50 : 42,840.20 = 25,384.30 : x
  2. Step 2: Convert to fraction form
    31,070.50/42,840.20 = 25,384.30/x
  3. Step 3: Cross multiply
    31,070.50x = 42,840.20 × 25,384.30
  4. Step 4: Simplify right side
    31,070.50x = 1,087,468,488.86
  5. Step 5: Solve for x
    x = 1,087,468,488.86/31,070.50
  6. Step 6: Final answer
    x = 35,000.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.