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Finding the Fourth Proportional to 52,038.40, 77,942.40 and 42,822.40

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Solution

The fourth proportional to 52,038.40, 77,942.40 and 42,822.40 is: 64,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.40 : 77,942.40 = 42,822.40 : x
  2. Step 2: Convert to fraction form
    52,038.40/77,942.40 = 42,822.40/x
  3. Step 3: Cross multiply
    52,038.40x = 77,942.40 × 42,822.40
  4. Step 4: Simplify right side
    52,038.40x = 3,337,680,629.76
  5. Step 5: Solve for x
    x = 3,337,680,629.76/52,038.40
  6. Step 6: Final answer
    x = 64,138.80

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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.