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Finding the Fourth Proportional to 70,184.30, 105,277.23 and 20,264.85

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Solution

The fourth proportional to 70,184.30, 105,277.23 and 20,264.85 is: 30,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,184.30 : 105,277.23 = 20,264.85 : x
  2. Step 2: Convert to fraction form
    70,184.30/105,277.23 = 20,264.85/x
  3. Step 3: Cross multiply
    70,184.30x = 105,277.23 × 20,264.85
  4. Step 4: Simplify right side
    70,184.30x = 2,133,427,274.37
  5. Step 5: Solve for x
    x = 2,133,427,274.37/70,184.30
  6. Step 6: Final answer
    x = 30,397.50

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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.