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Finding the Fourth Proportional to 31,492, 47,244.48 and 13,024

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Solution

The fourth proportional to 31,492, 47,244.48 and 13,024 is: 19,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492 : 47,244.48 = 13,024 : x
  2. Step 2: Convert to fraction form
    31,492/47,244.48 = 13,024/x
  3. Step 3: Cross multiply
    31,492x = 47,244.48 × 13,024
  4. Step 4: Simplify right side
    31,492x = 615,312,107.52
  5. Step 5: Solve for x
    x = 615,312,107.52/31,492
  6. Step 6: Final answer
    x = 19,538.68

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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.