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Finding the Fourth Proportional to 76,005, 114,009.12 and 26,084.88

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Solution

The fourth proportional to 76,005, 114,009.12 and 26,084.88 is: 39,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,005 : 114,009.12 = 26,084.88 : x
  2. Step 2: Convert to fraction form
    76,005/114,009.12 = 26,084.88/x
  3. Step 3: Cross multiply
    76,005x = 114,009.12 × 26,084.88
  4. Step 4: Simplify right side
    76,005x = 2,973,914,214.11
  5. Step 5: Solve for x
    x = 2,973,914,214.11/76,005
  6. Step 6: Final answer
    x = 39,127.88

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1.5x scale

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.