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Finding the Fourth Proportional to 75,203.64, 112,803.30 and 25,286.58

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Solution

The fourth proportional to 75,203.64, 112,803.30 and 25,286.58 is: 37,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,203.64 : 112,803.30 = 25,286.58 : x
  2. Step 2: Convert to fraction form
    75,203.64/112,803.30 = 25,286.58/x
  3. Step 3: Cross multiply
    75,203.64x = 112,803.30 × 25,286.58
  4. Step 4: Simplify right side
    75,203.64x = 2,852,409,669.71
  5. Step 5: Solve for x
    x = 2,852,409,669.71/75,203.64
  6. Step 6: Final answer
    x = 37,929.14

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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.