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Finding the Fourth Proportional to 52,598.80, 78,916.60 and 32,854.16

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Solution

The fourth proportional to 52,598.80, 78,916.60 and 32,854.16 is: 49,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,598.80 : 78,916.60 = 32,854.16 : x
  2. Step 2: Convert to fraction form
    52,598.80/78,916.60 = 32,854.16/x
  3. Step 3: Cross multiply
    52,598.80x = 78,916.60 × 32,854.16
  4. Step 4: Simplify right side
    52,598.80x = 2,592,738,603.06
  5. Step 5: Solve for x
    x = 2,592,738,603.06/52,598.80
  6. Step 6: Final answer
    x = 49,292.73

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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.