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Finding the Fourth Proportional to 51,506.55, 77,113.89 and 32,739.93

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Solution

The fourth proportional to 51,506.55, 77,113.89 and 32,739.93 is: 49,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506.55 : 77,113.89 = 32,739.93 : x
  2. Step 2: Convert to fraction form
    51,506.55/77,113.89 = 32,739.93/x
  3. Step 3: Cross multiply
    51,506.55x = 77,113.89 × 32,739.93
  4. Step 4: Simplify right side
    51,506.55x = 2,524,703,360.63
  5. Step 5: Solve for x
    x = 2,524,703,360.63/51,506.55
  6. Step 6: Final answer
    x = 49,017.13

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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.