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Finding the Fourth Proportional to 114,342, 171,482.02 and 47,768.20

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Solution

The fourth proportional to 114,342, 171,482.02 and 47,768.20 is: 71,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,342 : 171,482.02 = 47,768.20 : x
  2. Step 2: Convert to fraction form
    114,342/171,482.02 = 47,768.20/x
  3. Step 3: Cross multiply
    114,342x = 171,482.02 × 47,768.20
  4. Step 4: Simplify right side
    114,342x = 8,191,387,427.76
  5. Step 5: Solve for x
    x = 8,191,387,427.76/114,342
  6. Step 6: Final answer
    x = 71,639.36

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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.