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Finding the Fourth Proportional to 102,003.10, 153,004.65 and 31,882.30

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Solution

The fourth proportional to 102,003.10, 153,004.65 and 31,882.30 is: 47,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.10 : 153,004.65 = 31,882.30 : x
  2. Step 2: Convert to fraction form
    102,003.10/153,004.65 = 31,882.30/x
  3. Step 3: Cross multiply
    102,003.10x = 153,004.65 × 31,882.30
  4. Step 4: Simplify right side
    102,003.10x = 4,878,140,152.70
  5. Step 5: Solve for x
    x = 4,878,140,152.70/102,003.10
  6. Step 6: Final answer
    x = 47,823.45

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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.