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Finding the Fourth Proportional to 31,585, 43,586.12 and 17,437.52

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Solution

The fourth proportional to 31,585, 43,586.12 and 17,437.52 is: 24,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585 : 43,586.12 = 17,437.52 : x
  2. Step 2: Convert to fraction form
    31,585/43,586.12 = 17,437.52/x
  3. Step 3: Cross multiply
    31,585x = 43,586.12 × 17,437.52
  4. Step 4: Simplify right side
    31,585x = 760,033,839.22
  5. Step 5: Solve for x
    x = 760,033,839.22/31,585
  6. Step 6: Final answer
    x = 24,063.13

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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.