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Finding the Fourth Proportional to 76,507.74, 114,799.28 and 34,417.58

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Solution

The fourth proportional to 76,507.74, 114,799.28 and 34,417.58 is: 51,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.74 : 114,799.28 = 34,417.58 : x
  2. Step 2: Convert to fraction form
    76,507.74/114,799.28 = 34,417.58/x
  3. Step 3: Cross multiply
    76,507.74x = 114,799.28 × 34,417.58
  4. Step 4: Simplify right side
    76,507.74x = 3,951,112,657.26
  5. Step 5: Solve for x
    x = 3,951,112,657.26/76,507.74
  6. Step 6: Final answer
    x = 51,643.31

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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.