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Finding the Fourth Proportional to 82,985.41, 114,509.04 and 47,174.65

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Solution

The fourth proportional to 82,985.41, 114,509.04 and 47,174.65 is: 65,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,985.41 : 114,509.04 = 47,174.65 : x
  2. Step 2: Convert to fraction form
    82,985.41/114,509.04 = 47,174.65/x
  3. Step 3: Cross multiply
    82,985.41x = 114,509.04 × 47,174.65
  4. Step 4: Simplify right side
    82,985.41x = 5,401,924,330.13
  5. Step 5: Solve for x
    x = 5,401,924,330.13/82,985.41
  6. Step 6: Final answer
    x = 65,094.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.