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Finding the Fourth Proportional to 97,471, 134,509.98 and 52,759

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Solution

The fourth proportional to 97,471, 134,509.98 and 52,759 is: 72,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471 : 134,509.98 = 52,759 : x
  2. Step 2: Convert to fraction form
    97,471/134,509.98 = 52,759/x
  3. Step 3: Cross multiply
    97,471x = 134,509.98 × 52,759
  4. Step 4: Simplify right side
    97,471x = 7,096,612,034.82
  5. Step 5: Solve for x
    x = 7,096,612,034.82/97,471
  6. Step 6: Final answer
    x = 72,807.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.