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Finding the Fourth Proportional to 47,282.64, 70,934.04 and 23,602.92

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Solution

The fourth proportional to 47,282.64, 70,934.04 and 23,602.92 is: 35,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282.64 : 70,934.04 = 23,602.92 : x
  2. Step 2: Convert to fraction form
    47,282.64/70,934.04 = 23,602.92/x
  3. Step 3: Cross multiply
    47,282.64x = 70,934.04 × 23,602.92
  4. Step 4: Simplify right side
    47,282.64x = 1,674,250,471.40
  5. Step 5: Solve for x
    x = 1,674,250,471.40/47,282.64
  6. Step 6: Final answer
    x = 35,409.41

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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.