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Finding the Fourth Proportional to 74,006.16, 111,038.43 and 32,424

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Solution

The fourth proportional to 74,006.16, 111,038.43 and 32,424 is: 48,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,006.16 : 111,038.43 = 32,424 : x
  2. Step 2: Convert to fraction form
    74,006.16/111,038.43 = 32,424/x
  3. Step 3: Cross multiply
    74,006.16x = 111,038.43 × 32,424
  4. Step 4: Simplify right side
    74,006.16x = 3,600,310,054.32
  5. Step 5: Solve for x
    x = 3,600,310,054.32/74,006.16
  6. Step 6: Final answer
    x = 48,648.79

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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.