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Finding the Fourth Proportional to 31,102.48, 46,652.88 and 10,042.48

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Solution

The fourth proportional to 31,102.48, 46,652.88 and 10,042.48 is: 15,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.48 : 46,652.88 = 10,042.48 : x
  2. Step 2: Convert to fraction form
    31,102.48/46,652.88 = 10,042.48/x
  3. Step 3: Cross multiply
    31,102.48x = 46,652.88 × 10,042.48
  4. Step 4: Simplify right side
    31,102.48x = 468,510,614.34
  5. Step 5: Solve for x
    x = 468,510,614.34/31,102.48
  6. Step 6: Final answer
    x = 15,063.45

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1.5x scale

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.