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Finding the Fourth Proportional to 96,506.09, 144,773.10 and 29,951.59

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Solution

The fourth proportional to 96,506.09, 144,773.10 and 29,951.59 is: 44,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,506.09 : 144,773.10 = 29,951.59 : x
  2. Step 2: Convert to fraction form
    96,506.09/144,773.10 = 29,951.59/x
  3. Step 3: Cross multiply
    96,506.09x = 144,773.10 × 29,951.59
  4. Step 4: Simplify right side
    96,506.09x = 4,336,184,534.23
  5. Step 5: Solve for x
    x = 4,336,184,534.23/96,506.09
  6. Step 6: Final answer
    x = 44,931.72

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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.