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Finding the Fourth Proportional to 70,536.11, 97,341.82 and 38,707.09

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Solution

The fourth proportional to 70,536.11, 97,341.82 and 38,707.09 is: 53,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,536.11 : 97,341.82 = 38,707.09 : x
  2. Step 2: Convert to fraction form
    70,536.11/97,341.82 = 38,707.09/x
  3. Step 3: Cross multiply
    70,536.11x = 97,341.82 × 38,707.09
  4. Step 4: Simplify right side
    70,536.11x = 3,767,818,247.38
  5. Step 5: Solve for x
    x = 3,767,818,247.38/70,536.11
  6. Step 6: Final answer
    x = 53,416.87

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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.