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Finding the Fourth Proportional to 101,404.60, 152,114.10 and 31,283.80

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Solution

The fourth proportional to 101,404.60, 152,114.10 and 31,283.80 is: 46,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,404.60 : 152,114.10 = 31,283.80 : x
  2. Step 2: Convert to fraction form
    101,404.60/152,114.10 = 31,283.80/x
  3. Step 3: Cross multiply
    101,404.60x = 152,114.10 × 31,283.80
  4. Step 4: Simplify right side
    101,404.60x = 4,758,707,081.58
  5. Step 5: Solve for x
    x = 4,758,707,081.58/101,404.60
  6. Step 6: Final answer
    x = 46,927.92

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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.