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Finding the Fourth Proportional to 47,111.34, 70,666 and 13,830.66

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Solution

The fourth proportional to 47,111.34, 70,666 and 13,830.66 is: 20,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111.34 : 70,666 = 13,830.66 : x
  2. Step 2: Convert to fraction form
    47,111.34/70,666 = 13,830.66/x
  3. Step 3: Cross multiply
    47,111.34x = 70,666 × 13,830.66
  4. Step 4: Simplify right side
    47,111.34x = 977,357,419.56
  5. Step 5: Solve for x
    x = 977,357,419.56/47,111.34
  6. Step 6: Final answer
    x = 20,745.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.