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Finding the Fourth Proportional to 57,870.40, 86,810.40 and 18,426.40

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Solution

The fourth proportional to 57,870.40, 86,810.40 and 18,426.40 is: 27,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,870.40 : 86,810.40 = 18,426.40 : x
  2. Step 2: Convert to fraction form
    57,870.40/86,810.40 = 18,426.40/x
  3. Step 3: Cross multiply
    57,870.40x = 86,810.40 × 18,426.40
  4. Step 4: Simplify right side
    57,870.40x = 1,599,603,154.56
  5. Step 5: Solve for x
    x = 1,599,603,154.56/57,870.40
  6. Step 6: Final answer
    x = 27,641.13

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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.