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Finding the Fourth Proportional to 47,302.80, 65,282.42 and 35,345.38

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Solution

The fourth proportional to 47,302.80, 65,282.42 and 35,345.38 is: 48,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,302.80 : 65,282.42 = 35,345.38 : x
  2. Step 2: Convert to fraction form
    47,302.80/65,282.42 = 35,345.38/x
  3. Step 3: Cross multiply
    47,302.80x = 65,282.42 × 35,345.38
  4. Step 4: Simplify right side
    47,302.80x = 2,307,431,867.38
  5. Step 5: Solve for x
    x = 2,307,431,867.38/47,302.80
  6. Step 6: Final answer
    x = 48,780.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.