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Finding the Fourth Proportional to 57,466.04, 86,200.50 and 15,913.40

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Solution

The fourth proportional to 57,466.04, 86,200.50 and 15,913.40 is: 23,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466.04 : 86,200.50 = 15,913.40 : x
  2. Step 2: Convert to fraction form
    57,466.04/86,200.50 = 15,913.40/x
  3. Step 3: Cross multiply
    57,466.04x = 86,200.50 × 15,913.40
  4. Step 4: Simplify right side
    57,466.04x = 1,371,743,036.70
  5. Step 5: Solve for x
    x = 1,371,743,036.70/57,466.04
  6. Step 6: Final answer
    x = 23,870.50

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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.