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Finding the Fourth Proportional to 99,305.88, 148,968.54 and 32,718.84

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Solution

The fourth proportional to 99,305.88, 148,968.54 and 32,718.84 is: 49,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,305.88 : 148,968.54 = 32,718.84 : x
  2. Step 2: Convert to fraction form
    99,305.88/148,968.54 = 32,718.84/x
  3. Step 3: Cross multiply
    99,305.88x = 148,968.54 × 32,718.84
  4. Step 4: Simplify right side
    99,305.88x = 4,874,077,825.29
  5. Step 5: Solve for x
    x = 4,874,077,825.29/99,305.88
  6. Step 6: Final answer
    x = 49,081.46

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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.