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Finding the Fourth Proportional to 51,853.53, 77,701.05 and 34,923.93

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Solution

The fourth proportional to 51,853.53, 77,701.05 and 34,923.93 is: 52,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853.53 : 77,701.05 = 34,923.93 : x
  2. Step 2: Convert to fraction form
    51,853.53/77,701.05 = 34,923.93/x
  3. Step 3: Cross multiply
    51,853.53x = 77,701.05 × 34,923.93
  4. Step 4: Simplify right side
    51,853.53x = 2,713,626,031.13
  5. Step 5: Solve for x
    x = 2,713,626,031.13/51,853.53
  6. Step 6: Final answer
    x = 52,332.52

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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.