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Finding the Fourth Proportional to 28,047.47, 42,065.12 and 8,326.19

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Solution

The fourth proportional to 28,047.47, 42,065.12 and 8,326.19 is: 12,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047.47 : 42,065.12 = 8,326.19 : x
  2. Step 2: Convert to fraction form
    28,047.47/42,065.12 = 8,326.19/x
  3. Step 3: Cross multiply
    28,047.47x = 42,065.12 × 8,326.19
  4. Step 4: Simplify right side
    28,047.47x = 350,242,307.47
  5. Step 5: Solve for x
    x = 350,242,307.47/28,047.47
  6. Step 6: Final answer
    x = 12,487.49

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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.