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Finding the Fourth Proportional to 96,412.67, 144,712.52 and 46,527.87

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Solution

The fourth proportional to 96,412.67, 144,712.52 and 46,527.87 is: 69,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.67 : 144,712.52 = 46,527.87 : x
  2. Step 2: Convert to fraction form
    96,412.67/144,712.52 = 46,527.87/x
  3. Step 3: Cross multiply
    96,412.67x = 144,712.52 × 46,527.87
  4. Step 4: Simplify right side
    96,412.67x = 6,733,165,317.93
  5. Step 5: Solve for x
    x = 6,733,165,317.93/96,412.67
  6. Step 6: Final answer
    x = 69,836.93

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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.