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Finding the Fourth Proportional to 97,315.38, 134,295.14 and 52,603.38

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Solution

The fourth proportional to 97,315.38, 134,295.14 and 52,603.38 is: 72,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315.38 : 134,295.14 = 52,603.38 : x
  2. Step 2: Convert to fraction form
    97,315.38/134,295.14 = 52,603.38/x
  3. Step 3: Cross multiply
    97,315.38x = 134,295.14 × 52,603.38
  4. Step 4: Simplify right side
    97,315.38x = 7,064,378,281.57
  5. Step 5: Solve for x
    x = 7,064,378,281.57/97,315.38
  6. Step 6: Final answer
    x = 72,592.62

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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.