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Finding the Fourth Proportional to 97,314.38, 134,293.79 and 52,602.38

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Solution

The fourth proportional to 97,314.38, 134,293.79 and 52,602.38 is: 72,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314.38 : 134,293.79 = 52,602.38 : x
  2. Step 2: Convert to fraction form
    97,314.38/134,293.79 = 52,602.38/x
  3. Step 3: Cross multiply
    97,314.38x = 134,293.79 × 52,602.38
  4. Step 4: Simplify right side
    97,314.38x = 7,064,172,710.21
  5. Step 5: Solve for x
    x = 7,064,172,710.21/97,314.38
  6. Step 6: Final answer
    x = 72,591.25

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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.