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Finding the Fourth Proportional to 96,355.50, 144,472.50 and 46,448.16

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Solution

The fourth proportional to 96,355.50, 144,472.50 and 46,448.16 is: 69,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,355.50 : 144,472.50 = 46,448.16 : x
  2. Step 2: Convert to fraction form
    96,355.50/144,472.50 = 46,448.16/x
  3. Step 3: Cross multiply
    96,355.50x = 144,472.50 × 46,448.16
  4. Step 4: Simplify right side
    96,355.50x = 6,710,481,795.60
  5. Step 5: Solve for x
    x = 6,710,481,795.60/96,355.50
  6. Step 6: Final answer
    x = 69,642.96

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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.