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Finding the Fourth Proportional to 47,145.60, 70,709.76 and 19,064.16

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Solution

The fourth proportional to 47,145.60, 70,709.76 and 19,064.16 is: 28,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145.60 : 70,709.76 = 19,064.16 : x
  2. Step 2: Convert to fraction form
    47,145.60/70,709.76 = 19,064.16/x
  3. Step 3: Cross multiply
    47,145.60x = 70,709.76 × 19,064.16
  4. Step 4: Simplify right side
    47,145.60x = 1,348,022,178.20
  5. Step 5: Solve for x
    x = 1,348,022,178.20/47,145.60
  6. Step 6: Final answer
    x = 28,592.75

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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.