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Finding the Fourth Proportional to 31,693.64, 47,541.56 and 15,045.09

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Solution

The fourth proportional to 31,693.64, 47,541.56 and 15,045.09 is: 22,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.64 : 47,541.56 = 15,045.09 : x
  2. Step 2: Convert to fraction form
    31,693.64/47,541.56 = 15,045.09/x
  3. Step 3: Cross multiply
    31,693.64x = 47,541.56 × 15,045.09
  4. Step 4: Simplify right side
    31,693.64x = 715,266,973.71
  5. Step 5: Solve for x
    x = 715,266,973.71/31,693.64
  6. Step 6: Final answer
    x = 22,568.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.