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Finding the Fourth Proportional to 102,030.85, 153,046.08 and 27,151

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Solution

The fourth proportional to 102,030.85, 153,046.08 and 27,151 is: 40,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.85 : 153,046.08 = 27,151 : x
  2. Step 2: Convert to fraction form
    102,030.85/153,046.08 = 27,151/x
  3. Step 3: Cross multiply
    102,030.85x = 153,046.08 × 27,151
  4. Step 4: Simplify right side
    102,030.85x = 4,155,354,118.08
  5. Step 5: Solve for x
    x = 4,155,354,118.08/102,030.85
  6. Step 6: Final answer
    x = 40,726.45

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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.