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Finding the Fourth Proportional to 102,044, 153,077.48 and 27,167.06

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Solution

The fourth proportional to 102,044, 153,077.48 and 27,167.06 is: 40,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044 : 153,077.48 = 27,167.06 : x
  2. Step 2: Convert to fraction form
    102,044/153,077.48 = 27,167.06/x
  3. Step 3: Cross multiply
    102,044x = 153,077.48 × 27,167.06
  4. Step 4: Simplify right side
    102,044x = 4,158,665,083.81
  5. Step 5: Solve for x
    x = 4,158,665,083.81/102,044
  6. Step 6: Final answer
    x = 40,753.65

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Why These Related Problems?

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