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Finding the Fourth Proportional to 96,393.95, 144,597.68 and 29,825.31

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Solution

The fourth proportional to 96,393.95, 144,597.68 and 29,825.31 is: 44,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,393.95 : 144,597.68 = 29,825.31 : x
  2. Step 2: Convert to fraction form
    96,393.95/144,597.68 = 29,825.31/x
  3. Step 3: Cross multiply
    96,393.95x = 144,597.68 × 29,825.31
  4. Step 4: Simplify right side
    96,393.95x = 4,312,670,482.15
  5. Step 5: Solve for x
    x = 4,312,670,482.15/96,393.95
  6. Step 6: Final answer
    x = 44,740.06

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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.