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Finding the Fourth Proportional to 97,393.76, 134,403.44 and 52,681.76

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Solution

The fourth proportional to 97,393.76, 134,403.44 and 52,681.76 is: 72,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393.76 : 134,403.44 = 52,681.76 : x
  2. Step 2: Convert to fraction form
    97,393.76/134,403.44 = 52,681.76/x
  3. Step 3: Cross multiply
    97,393.76x = 134,403.44 × 52,681.76
  4. Step 4: Simplify right side
    97,393.76x = 7,080,609,769.25
  5. Step 5: Solve for x
    x = 7,080,609,769.25/97,393.76
  6. Step 6: Final answer
    x = 72,700.86

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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.