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Finding the Fourth Proportional to 24,047.86, 36,071.80 and 15,780.20

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Solution

The fourth proportional to 24,047.86, 36,071.80 and 15,780.20 is: 23,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.86 : 36,071.80 = 15,780.20 : x
  2. Step 2: Convert to fraction form
    24,047.86/36,071.80 = 15,780.20/x
  3. Step 3: Cross multiply
    24,047.86x = 36,071.80 × 15,780.20
  4. Step 4: Simplify right side
    24,047.86x = 569,220,218.36
  5. Step 5: Solve for x
    x = 569,220,218.36/24,047.86
  6. Step 6: Final answer
    x = 23,670.31

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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.