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Finding the Fourth Proportional to 32,293, 44,549.22 and 22,866.76

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Solution

The fourth proportional to 32,293, 44,549.22 and 22,866.76 is: 31,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,293 : 44,549.22 = 22,866.76 : x
  2. Step 2: Convert to fraction form
    32,293/44,549.22 = 22,866.76/x
  3. Step 3: Cross multiply
    32,293x = 44,549.22 × 22,866.76
  4. Step 4: Simplify right side
    32,293x = 1,018,696,321.93
  5. Step 5: Solve for x
    x = 1,018,696,321.93/32,293
  6. Step 6: Final answer
    x = 31,545.42

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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.