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Finding the Fourth Proportional to 65,113.86, 97,670.79 and 30,034.38

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Solution

The fourth proportional to 65,113.86, 97,670.79 and 30,034.38 is: 45,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,113.86 : 97,670.79 = 30,034.38 : x
  2. Step 2: Convert to fraction form
    65,113.86/97,670.79 = 30,034.38/x
  3. Step 3: Cross multiply
    65,113.86x = 97,670.79 × 30,034.38
  4. Step 4: Simplify right side
    65,113.86x = 2,933,481,621.76
  5. Step 5: Solve for x
    x = 2,933,481,621.76/65,113.86
  6. Step 6: Final answer
    x = 45,051.57

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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.