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Finding the Fourth Proportional to 115,261, 172,959.56 and 48,696.84

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Solution

The fourth proportional to 115,261, 172,959.56 and 48,696.84 is: 73,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,261 : 172,959.56 = 48,696.84 : x
  2. Step 2: Convert to fraction form
    115,261/172,959.56 = 48,696.84/x
  3. Step 3: Cross multiply
    115,261x = 172,959.56 × 48,696.84
  4. Step 4: Simplify right side
    115,261x = 8,422,584,019.79
  5. Step 5: Solve for x
    x = 8,422,584,019.79/115,261
  6. Step 6: Final answer
    x = 73,074.01

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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.