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Finding the Fourth Proportional to 48,507.93, 72,626.69 and 24,764.40

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Solution

The fourth proportional to 48,507.93, 72,626.69 and 24,764.40 is: 37,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,507.93 : 72,626.69 = 24,764.40 : x
  2. Step 2: Convert to fraction form
    48,507.93/72,626.69 = 24,764.40/x
  3. Step 3: Cross multiply
    48,507.93x = 72,626.69 × 24,764.40
  4. Step 4: Simplify right side
    48,507.93x = 1,798,556,278.01
  5. Step 5: Solve for x
    x = 1,798,556,278.01/48,507.93
  6. Step 6: Final answer
    x = 37,077.57

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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.