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Finding the Fourth Proportional to 101,170.02, 151,741.70 and 31,043.46

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Solution

The fourth proportional to 101,170.02, 151,741.70 and 31,043.46 is: 46,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,170.02 : 151,741.70 = 31,043.46 : x
  2. Step 2: Convert to fraction form
    101,170.02/151,741.70 = 31,043.46/x
  3. Step 3: Cross multiply
    101,170.02x = 151,741.70 × 31,043.46
  4. Step 4: Simplify right side
    101,170.02x = 4,710,587,394.28
  5. Step 5: Solve for x
    x = 4,710,587,394.28/101,170.02
  6. Step 6: Final answer
    x = 46,561.10

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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.