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Finding the Fourth Proportional to 101,602.56, 152,348.16 and 31,462.40

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Solution

The fourth proportional to 101,602.56, 152,348.16 and 31,462.40 is: 47,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.56 : 152,348.16 = 31,462.40 : x
  2. Step 2: Convert to fraction form
    101,602.56/152,348.16 = 31,462.40/x
  3. Step 3: Cross multiply
    101,602.56x = 152,348.16 × 31,462.40
  4. Step 4: Simplify right side
    101,602.56x = 4,793,238,749.18
  5. Step 5: Solve for x
    x = 4,793,238,749.18/101,602.56
  6. Step 6: Final answer
    x = 47,176.36

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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.