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Finding the Fourth Proportional to 51,503.23, 77,304.78 and 24,868.01

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Solution

The fourth proportional to 51,503.23, 77,304.78 and 24,868.01 is: 37,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503.23 : 77,304.78 = 24,868.01 : x
  2. Step 2: Convert to fraction form
    51,503.23/77,304.78 = 24,868.01/x
  3. Step 3: Cross multiply
    51,503.23x = 77,304.78 × 24,868.01
  4. Step 4: Simplify right side
    51,503.23x = 1,922,416,042.09
  5. Step 5: Solve for x
    x = 1,922,416,042.09/51,503.23
  6. Step 6: Final answer
    x = 37,326.13

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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.