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Finding the Fourth Proportional to 42,003.40, 63,005.10 and 31,505.80

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Solution

The fourth proportional to 42,003.40, 63,005.10 and 31,505.80 is: 47,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,003.40 : 63,005.10 = 31,505.80 : x
  2. Step 2: Convert to fraction form
    42,003.40/63,005.10 = 31,505.80/x
  3. Step 3: Cross multiply
    42,003.40x = 63,005.10 × 31,505.80
  4. Step 4: Simplify right side
    42,003.40x = 1,985,026,079.58
  5. Step 5: Solve for x
    x = 1,985,026,079.58/42,003.40
  6. Step 6: Final answer
    x = 47,258.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.