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Finding the Fourth Proportional to 76,603.79, 114,905.72 and 24,017.38

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Solution

The fourth proportional to 76,603.79, 114,905.72 and 24,017.38 is: 36,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,603.79 : 114,905.72 = 24,017.38 : x
  2. Step 2: Convert to fraction form
    76,603.79/114,905.72 = 24,017.38/x
  3. Step 3: Cross multiply
    76,603.79x = 114,905.72 × 24,017.38
  4. Step 4: Simplify right side
    76,603.79x = 2,759,734,114.19
  5. Step 5: Solve for x
    x = 2,759,734,114.19/76,603.79
  6. Step 6: Final answer
    x = 36,026.08

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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.