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Finding the Fourth Proportional to 96,416, 144,626.56 and 30,752

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Solution

The fourth proportional to 96,416, 144,626.56 and 30,752 is: 46,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,416 : 144,626.56 = 30,752 : x
  2. Step 2: Convert to fraction form
    96,416/144,626.56 = 30,752/x
  3. Step 3: Cross multiply
    96,416x = 144,626.56 × 30,752
  4. Step 4: Simplify right side
    96,416x = 4,447,555,973.12
  5. Step 5: Solve for x
    x = 4,447,555,973.12/96,416
  6. Step 6: Final answer
    x = 46,128.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.