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Finding the Fourth Proportional to 31,088.70, 46,621.17 and 10,023.39

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Solution

The fourth proportional to 31,088.70, 46,621.17 and 10,023.39 is: 15,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.70 : 46,621.17 = 10,023.39 : x
  2. Step 2: Convert to fraction form
    31,088.70/46,621.17 = 10,023.39/x
  3. Step 3: Cross multiply
    31,088.70x = 46,621.17 × 10,023.39
  4. Step 4: Simplify right side
    31,088.70x = 467,302,169.17
  5. Step 5: Solve for x
    x = 467,302,169.17/31,088.70
  6. Step 6: Final answer
    x = 15,031.25

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