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Finding the Fourth Proportional to 29,585.40, 40,823.34 and 17,648.76

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Solution

The fourth proportional to 29,585.40, 40,823.34 and 17,648.76 is: 24,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.40 : 40,823.34 = 17,648.76 : x
  2. Step 2: Convert to fraction form
    29,585.40/40,823.34 = 17,648.76/x
  3. Step 3: Cross multiply
    29,585.40x = 40,823.34 × 17,648.76
  4. Step 4: Simplify right side
    29,585.40x = 720,481,330.06
  5. Step 5: Solve for x
    x = 720,481,330.06/29,585.40
  6. Step 6: Final answer
    x = 24,352.60

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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.