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Finding the Fourth Proportional to 76,602.67, 114,904.04 and 24,016.25

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Solution

The fourth proportional to 76,602.67, 114,904.04 and 24,016.25 is: 36,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602.67 : 114,904.04 = 24,016.25 : x
  2. Step 2: Convert to fraction form
    76,602.67/114,904.04 = 24,016.25/x
  3. Step 3: Cross multiply
    76,602.67x = 114,904.04 × 24,016.25
  4. Step 4: Simplify right side
    76,602.67x = 2,759,564,317.83
  5. Step 5: Solve for x
    x = 2,759,564,317.83/76,602.67
  6. Step 6: Final answer
    x = 36,024.39

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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.