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Finding the Fourth Proportional to 51,877.68, 77,699.76 and 36,364.56

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Solution

The fourth proportional to 51,877.68, 77,699.76 and 36,364.56 is: 54,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,877.68 : 77,699.76 = 36,364.56 : x
  2. Step 2: Convert to fraction form
    51,877.68/77,699.76 = 36,364.56/x
  3. Step 3: Cross multiply
    51,877.68x = 77,699.76 × 36,364.56
  4. Step 4: Simplify right side
    51,877.68x = 2,825,517,584.51
  5. Step 5: Solve for x
    x = 2,825,517,584.51/51,877.68
  6. Step 6: Final answer
    x = 54,465.00

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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.