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Finding the Fourth Proportional to 97,959.98, 146,919.08 and 31,382.24

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Solution

The fourth proportional to 97,959.98, 146,919.08 and 31,382.24 is: 47,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.98 : 146,919.08 = 31,382.24 : x
  2. Step 2: Convert to fraction form
    97,959.98/146,919.08 = 31,382.24/x
  3. Step 3: Cross multiply
    97,959.98x = 146,919.08 × 31,382.24
  4. Step 4: Simplify right side
    97,959.98x = 4,610,649,173.00
  5. Step 5: Solve for x
    x = 4,610,649,173.00/97,959.98
  6. Step 6: Final answer
    x = 47,066.66

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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.