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Finding the Fourth Proportional to 47,108.34, 70,661.51 and 13,827.66

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Solution

The fourth proportional to 47,108.34, 70,661.51 and 13,827.66 is: 20,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,108.34 : 70,661.51 = 13,827.66 : x
  2. Step 2: Convert to fraction form
    47,108.34/70,661.51 = 13,827.66/x
  3. Step 3: Cross multiply
    47,108.34x = 70,661.51 × 13,827.66
  4. Step 4: Simplify right side
    47,108.34x = 977,083,335.37
  5. Step 5: Solve for x
    x = 977,083,335.37/47,108.34
  6. Step 6: Final answer
    x = 20,741.20

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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.