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Finding the Fourth Proportional to 51,551.70, 77,326.47 and 27,870.54

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Solution

The fourth proportional to 51,551.70, 77,326.47 and 27,870.54 is: 41,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,551.70 : 77,326.47 = 27,870.54 : x
  2. Step 2: Convert to fraction form
    51,551.70/77,326.47 = 27,870.54/x
  3. Step 3: Cross multiply
    51,551.70x = 77,326.47 × 27,870.54
  4. Step 4: Simplify right side
    51,551.70x = 2,155,130,475.19
  5. Step 5: Solve for x
    x = 2,155,130,475.19/51,551.70
  6. Step 6: Final answer
    x = 41,805.23

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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.