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Finding the Fourth Proportional to 101,492.60, 152,253.47 and 31,377.38

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Solution

The fourth proportional to 101,492.60, 152,253.47 and 31,377.38 is: 47,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,492.60 : 152,253.47 = 31,377.38 : x
  2. Step 2: Convert to fraction form
    101,492.60/152,253.47 = 31,377.38/x
  3. Step 3: Cross multiply
    101,492.60x = 152,253.47 × 31,377.38
  4. Step 4: Simplify right side
    101,492.60x = 4,777,314,301.68
  5. Step 5: Solve for x
    x = 4,777,314,301.68/101,492.60
  6. Step 6: Final answer
    x = 47,070.57

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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.