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Finding the Fourth Proportional to 34,129.47, 47,098.90 and 19,023.10

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Solution

The fourth proportional to 34,129.47, 47,098.90 and 19,023.10 is: 26,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.47 : 47,098.90 = 19,023.10 : x
  2. Step 2: Convert to fraction form
    34,129.47/47,098.90 = 19,023.10/x
  3. Step 3: Cross multiply
    34,129.47x = 47,098.90 × 19,023.10
  4. Step 4: Simplify right side
    34,129.47x = 895,967,215.43
  5. Step 5: Solve for x
    x = 895,967,215.43/34,129.47
  6. Step 6: Final answer
    x = 26,252.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.