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Finding the Fourth Proportional to 97,286, 134,254.68 and 52,574

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Solution

The fourth proportional to 97,286, 134,254.68 and 52,574 is: 72,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,286 : 134,254.68 = 52,574 : x
  2. Step 2: Convert to fraction form
    97,286/134,254.68 = 52,574/x
  3. Step 3: Cross multiply
    97,286x = 134,254.68 × 52,574
  4. Step 4: Simplify right side
    97,286x = 7,058,305,546.32
  5. Step 5: Solve for x
    x = 7,058,305,546.32/97,286
  6. Step 6: Final answer
    x = 72,552.12

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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.