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Finding the Fourth Proportional to 75,999.30, 113,826.15 and 48,005.70

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Solution

The fourth proportional to 75,999.30, 113,826.15 and 48,005.70 is: 71,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.30 : 113,826.15 = 48,005.70 : x
  2. Step 2: Convert to fraction form
    75,999.30/113,826.15 = 48,005.70/x
  3. Step 3: Cross multiply
    75,999.30x = 113,826.15 × 48,005.70
  4. Step 4: Simplify right side
    75,999.30x = 5,464,304,009.06
  5. Step 5: Solve for x
    x = 5,464,304,009.06/75,999.30
  6. Step 6: Final answer
    x = 71,899.40

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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.