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Finding the Fourth Proportional to 70,564.38, 106,268.98 and 64,265.82

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Solution

The fourth proportional to 70,564.38, 106,268.98 and 64,265.82 is: 96,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,564.38 : 106,268.98 = 64,265.82 : x
  2. Step 2: Convert to fraction form
    70,564.38/106,268.98 = 64,265.82/x
  3. Step 3: Cross multiply
    70,564.38x = 106,268.98 × 64,265.82
  4. Step 4: Simplify right side
    70,564.38x = 6,829,463,140.26
  5. Step 5: Solve for x
    x = 6,829,463,140.26/70,564.38
  6. Step 6: Final answer
    x = 96,783.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.