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Finding the Fourth Proportional to 47,382.95, 71,062.05 and 14,094.05

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Solution

The fourth proportional to 47,382.95, 71,062.05 and 14,094.05 is: 21,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.95 : 71,062.05 = 14,094.05 : x
  2. Step 2: Convert to fraction form
    47,382.95/71,062.05 = 14,094.05/x
  3. Step 3: Cross multiply
    47,382.95x = 71,062.05 × 14,094.05
  4. Step 4: Simplify right side
    47,382.95x = 1,001,552,085.80
  5. Step 5: Solve for x
    x = 1,001,552,085.80/47,382.95
  6. Step 6: Final answer
    x = 21,137.39

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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.