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Finding the Fourth Proportional to 48,114.72, 66,396.33 and 27,970.65

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Solution

The fourth proportional to 48,114.72, 66,396.33 and 27,970.65 is: 38,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114.72 : 66,396.33 = 27,970.65 : x
  2. Step 2: Convert to fraction form
    48,114.72/66,396.33 = 27,970.65/x
  3. Step 3: Cross multiply
    48,114.72x = 66,396.33 × 27,970.65
  4. Step 4: Simplify right side
    48,114.72x = 1,857,148,507.71
  5. Step 5: Solve for x
    x = 1,857,148,507.71/48,114.72
  6. Step 6: Final answer
    x = 38,598.34

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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.