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Finding the Fourth Proportional to 31,482.48, 47,253 and 15,911.04

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Solution

The fourth proportional to 31,482.48, 47,253 and 15,911.04 is: 23,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.48 : 47,253 = 15,911.04 : x
  2. Step 2: Convert to fraction form
    31,482.48/47,253 = 15,911.04/x
  3. Step 3: Cross multiply
    31,482.48x = 47,253 × 15,911.04
  4. Step 4: Simplify right side
    31,482.48x = 751,844,373.12
  5. Step 5: Solve for x
    x = 751,844,373.12/31,482.48
  6. Step 6: Final answer
    x = 23,881.36

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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.