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Finding the Fourth Proportional to 97,295.76, 134,268.12 and 52,583.76

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Solution

The fourth proportional to 97,295.76, 134,268.12 and 52,583.76 is: 72,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,295.76 : 134,268.12 = 52,583.76 : x
  2. Step 2: Convert to fraction form
    97,295.76/134,268.12 = 52,583.76/x
  3. Step 3: Cross multiply
    97,295.76x = 134,268.12 × 52,583.76
  4. Step 4: Simplify right side
    97,295.76x = 7,060,322,597.73
  5. Step 5: Solve for x
    x = 7,060,322,597.73/97,295.76
  6. Step 6: Final answer
    x = 72,565.57

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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.