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Finding the Fourth Proportional to 114,776.11, 172,174.10 and 31,670.11

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Solution

The fourth proportional to 114,776.11, 172,174.10 and 31,670.11 is: 47,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,776.11 : 172,174.10 = 31,670.11 : x
  2. Step 2: Convert to fraction form
    114,776.11/172,174.10 = 31,670.11/x
  3. Step 3: Cross multiply
    114,776.11x = 172,174.10 × 31,670.11
  4. Step 4: Simplify right side
    114,776.11x = 5,452,772,686.15
  5. Step 5: Solve for x
    x = 5,452,772,686.15/114,776.11
  6. Step 6: Final answer
    x = 47,507.91

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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.