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Finding the Fourth Proportional to 70,364.64, 97,102.80 and 38,534.08

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Solution

The fourth proportional to 70,364.64, 97,102.80 and 38,534.08 is: 53,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,364.64 : 97,102.80 = 38,534.08 : x
  2. Step 2: Convert to fraction form
    70,364.64/97,102.80 = 38,534.08/x
  3. Step 3: Cross multiply
    70,364.64x = 97,102.80 × 38,534.08
  4. Step 4: Simplify right side
    70,364.64x = 3,741,767,063.42
  5. Step 5: Solve for x
    x = 3,741,767,063.42/70,364.64
  6. Step 6: Final answer
    x = 53,176.81

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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.