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Finding the Fourth Proportional to 128,047.84, 192,097.76 and 44,948.32

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Solution

The fourth proportional to 128,047.84, 192,097.76 and 44,948.32 is: 67,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,047.84 : 192,097.76 = 44,948.32 : x
  2. Step 2: Convert to fraction form
    128,047.84/192,097.76 = 44,948.32/x
  3. Step 3: Cross multiply
    128,047.84x = 192,097.76 × 44,948.32
  4. Step 4: Simplify right side
    128,047.84x = 8,634,471,587.76
  5. Step 5: Solve for x
    x = 8,634,471,587.76/128,047.84
  6. Step 6: Final answer
    x = 67,431.61

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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.