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Finding the Fourth Proportional to 47,141.60, 70,703.76 and 19,060.16

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Solution

The fourth proportional to 47,141.60, 70,703.76 and 19,060.16 is: 28,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,141.60 : 70,703.76 = 19,060.16 : x
  2. Step 2: Convert to fraction form
    47,141.60/70,703.76 = 19,060.16/x
  3. Step 3: Cross multiply
    47,141.60x = 70,703.76 × 19,060.16
  4. Step 4: Simplify right side
    47,141.60x = 1,347,624,978.20
  5. Step 5: Solve for x
    x = 1,347,624,978.20/47,141.60
  6. Step 6: Final answer
    x = 28,586.75

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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.