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Finding the Fourth Proportional to 47,114.13, 70,703.60 and 19,412.13

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Solution

The fourth proportional to 47,114.13, 70,703.60 and 19,412.13 is: 29,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114.13 : 70,703.60 = 19,412.13 : x
  2. Step 2: Convert to fraction form
    47,114.13/70,703.60 = 19,412.13/x
  3. Step 3: Cross multiply
    47,114.13x = 70,703.60 × 19,412.13
  4. Step 4: Simplify right side
    47,114.13x = 1,372,507,474.67
  5. Step 5: Solve for x
    x = 1,372,507,474.67/47,114.13
  6. Step 6: Final answer
    x = 29,131.55

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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.