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Finding the Fourth Proportional to 74,942.40, 112,397.40 and 32,822.40

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Solution

The fourth proportional to 74,942.40, 112,397.40 and 32,822.40 is: 49,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942.40 : 112,397.40 = 32,822.40 : x
  2. Step 2: Convert to fraction form
    74,942.40/112,397.40 = 32,822.40/x
  3. Step 3: Cross multiply
    74,942.40x = 112,397.40 × 32,822.40
  4. Step 4: Simplify right side
    74,942.40x = 3,689,152,421.76
  5. Step 5: Solve for x
    x = 3,689,152,421.76/74,942.40
  6. Step 6: Final answer
    x = 49,226.50

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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.