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Finding the Fourth Proportional to 32,167.63, 44,384.16 and 19,422.91

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Solution

The fourth proportional to 32,167.63, 44,384.16 and 19,422.91 is: 26,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.63 : 44,384.16 = 19,422.91 : x
  2. Step 2: Convert to fraction form
    32,167.63/44,384.16 = 19,422.91/x
  3. Step 3: Cross multiply
    32,167.63x = 44,384.16 × 19,422.91
  4. Step 4: Simplify right side
    32,167.63x = 862,069,545.11
  5. Step 5: Solve for x
    x = 862,069,545.11/32,167.63
  6. Step 6: Final answer
    x = 26,799.29

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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.