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Finding the Fourth Proportional to 74,966.40, 112,433.40 and 32,846.40

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Solution

The fourth proportional to 74,966.40, 112,433.40 and 32,846.40 is: 49,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,966.40 : 112,433.40 = 32,846.40 : x
  2. Step 2: Convert to fraction form
    74,966.40/112,433.40 = 32,846.40/x
  3. Step 3: Cross multiply
    74,966.40x = 112,433.40 × 32,846.40
  4. Step 4: Simplify right side
    74,966.40x = 3,693,032,429.76
  5. Step 5: Solve for x
    x = 3,693,032,429.76/74,966.40
  6. Step 6: Final answer
    x = 49,262.50

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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.