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Finding the Fourth Proportional to 32,853.80, 49,287.90 and 13,127.40

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Solution

The fourth proportional to 32,853.80, 49,287.90 and 13,127.40 is: 19,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.80 : 49,287.90 = 13,127.40 : x
  2. Step 2: Convert to fraction form
    32,853.80/49,287.90 = 13,127.40/x
  3. Step 3: Cross multiply
    32,853.80x = 49,287.90 × 13,127.40
  4. Step 4: Simplify right side
    32,853.80x = 647,021,978.46
  5. Step 5: Solve for x
    x = 647,021,978.46/32,853.80
  6. Step 6: Final answer
    x = 19,693.98

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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.