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Finding the Fourth Proportional to 101,365.70, 152,034.15 and 31,252.10

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Solution

The fourth proportional to 101,365.70, 152,034.15 and 31,252.10 is: 46,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,365.70 : 152,034.15 = 31,252.10 : x
  2. Step 2: Convert to fraction form
    101,365.70/152,034.15 = 31,252.10/x
  3. Step 3: Cross multiply
    101,365.70x = 152,034.15 × 31,252.10
  4. Step 4: Simplify right side
    101,365.70x = 4,751,386,459.22
  5. Step 5: Solve for x
    x = 4,751,386,459.22/101,365.70
  6. Step 6: Final answer
    x = 46,873.71

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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.