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Finding the Fourth Proportional to 31,568.80, 47,374.80 and 17,528.80

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Solution

The fourth proportional to 31,568.80, 47,374.80 and 17,528.80 is: 26,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568.80 : 47,374.80 = 17,528.80 : x
  2. Step 2: Convert to fraction form
    31,568.80/47,374.80 = 17,528.80/x
  3. Step 3: Cross multiply
    31,568.80x = 47,374.80 × 17,528.80
  4. Step 4: Simplify right side
    31,568.80x = 830,423,394.24
  5. Step 5: Solve for x
    x = 830,423,394.24/31,568.80
  6. Step 6: Final answer
    x = 26,305.19

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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.