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Finding the Fourth Proportional to 76,602.73, 114,904.13 and 24,016.32

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Solution

The fourth proportional to 76,602.73, 114,904.13 and 24,016.32 is: 36,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602.73 : 114,904.13 = 24,016.32 : x
  2. Step 2: Convert to fraction form
    76,602.73/114,904.13 = 24,016.32/x
  3. Step 3: Cross multiply
    76,602.73x = 114,904.13 × 24,016.32
  4. Step 4: Simplify right side
    76,602.73x = 2,759,573,750.86
  5. Step 5: Solve for x
    x = 2,759,573,750.86/76,602.73
  6. Step 6: Final answer
    x = 36,024.48

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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.