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Finding the Fourth Proportional to 75,873.84, 104,641.64 and 45,653.52

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Solution

The fourth proportional to 75,873.84, 104,641.64 and 45,653.52 is: 62,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,873.84 : 104,641.64 = 45,653.52 : x
  2. Step 2: Convert to fraction form
    75,873.84/104,641.64 = 45,653.52/x
  3. Step 3: Cross multiply
    75,873.84x = 104,641.64 × 45,653.52
  4. Step 4: Simplify right side
    75,873.84x = 4,777,258,976.31
  5. Step 5: Solve for x
    x = 4,777,258,976.31/75,873.84
  6. Step 6: Final answer
    x = 62,963.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.