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Finding the Fourth Proportional to 96,112.66, 144,169 and 28,645.74

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Solution

The fourth proportional to 96,112.66, 144,169 and 28,645.74 is: 42,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,112.66 : 144,169 = 28,645.74 : x
  2. Step 2: Convert to fraction form
    96,112.66/144,169 = 28,645.74/x
  3. Step 3: Cross multiply
    96,112.66x = 144,169 × 28,645.74
  4. Step 4: Simplify right side
    96,112.66x = 4,129,827,690.06
  5. Step 5: Solve for x
    x = 4,129,827,690.06/96,112.66
  6. Step 6: Final answer
    x = 42,968.61

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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.