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Finding the Fourth Proportional to 64,970.90, 97,320.41 and 52,251.90

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Solution

The fourth proportional to 64,970.90, 97,320.41 and 52,251.90 is: 78,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.90 : 97,320.41 = 52,251.90 : x
  2. Step 2: Convert to fraction form
    64,970.90/97,320.41 = 52,251.90/x
  3. Step 3: Cross multiply
    64,970.90x = 97,320.41 × 52,251.90
  4. Step 4: Simplify right side
    64,970.90x = 5,085,176,265.96
  5. Step 5: Solve for x
    x = 5,085,176,265.96/64,970.90
  6. Step 6: Final answer
    x = 78,268.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.