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Finding the Fourth Proportional to 52,585.16, 78,877.73 and 27,955.40

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Solution

The fourth proportional to 52,585.16, 78,877.73 and 27,955.40 is: 41,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,585.16 : 78,877.73 = 27,955.40 : x
  2. Step 2: Convert to fraction form
    52,585.16/78,877.73 = 27,955.40/x
  3. Step 3: Cross multiply
    52,585.16x = 78,877.73 × 27,955.40
  4. Step 4: Simplify right side
    52,585.16x = 2,205,058,168.74
  5. Step 5: Solve for x
    x = 2,205,058,168.74/52,585.16
  6. Step 6: Final answer
    x = 41,933.09

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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.