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Finding the Fourth Proportional to 57,787.60, 86,681.73 and 17,806.06

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Solution

The fourth proportional to 57,787.60, 86,681.73 and 17,806.06 is: 26,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.60 : 86,681.73 = 17,806.06 : x
  2. Step 2: Convert to fraction form
    57,787.60/86,681.73 = 17,806.06/x
  3. Step 3: Cross multiply
    57,787.60x = 86,681.73 × 17,806.06
  4. Step 4: Simplify right side
    57,787.60x = 1,543,460,085.28
  5. Step 5: Solve for x
    x = 1,543,460,085.28/57,787.60
  6. Step 6: Final answer
    x = 26,709.19

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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.