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Finding the Fourth Proportional to 70,548.84, 97,357.32 and 38,717.82

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Solution

The fourth proportional to 70,548.84, 97,357.32 and 38,717.82 is: 53,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,548.84 : 97,357.32 = 38,717.82 : x
  2. Step 2: Convert to fraction form
    70,548.84/97,357.32 = 38,717.82/x
  3. Step 3: Cross multiply
    70,548.84x = 97,357.32 × 38,717.82
  4. Step 4: Simplify right side
    70,548.84x = 3,769,463,191.44
  5. Step 5: Solve for x
    x = 3,769,463,191.44/70,548.84
  6. Step 6: Final answer
    x = 53,430.55

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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.