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Finding the Fourth Proportional to 76,862.40, 115,313.02 and 21,458.40

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Solution

The fourth proportional to 76,862.40, 115,313.02 and 21,458.40 is: 32,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,862.40 : 115,313.02 = 21,458.40 : x
  2. Step 2: Convert to fraction form
    76,862.40/115,313.02 = 21,458.40/x
  3. Step 3: Cross multiply
    76,862.40x = 115,313.02 × 21,458.40
  4. Step 4: Simplify right side
    76,862.40x = 2,474,432,908.37
  5. Step 5: Solve for x
    x = 2,474,432,908.37/76,862.40
  6. Step 6: Final answer
    x = 32,193.02

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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.