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Finding the Fourth Proportional to 38,276.54, 52,753.01 and 31,130.16

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Solution

The fourth proportional to 38,276.54, 52,753.01 and 31,130.16 is: 42,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,276.54 : 52,753.01 = 31,130.16 : x
  2. Step 2: Convert to fraction form
    38,276.54/52,753.01 = 31,130.16/x
  3. Step 3: Cross multiply
    38,276.54x = 52,753.01 × 31,130.16
  4. Step 4: Simplify right side
    38,276.54x = 1,642,209,760.15
  5. Step 5: Solve for x
    x = 1,642,209,760.15/38,276.54
  6. Step 6: Final answer
    x = 42,903.82

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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.