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Finding the Fourth Proportional to 97,301, 134,275.38 and 52,589

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Solution

The fourth proportional to 97,301, 134,275.38 and 52,589 is: 72,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,301 : 134,275.38 = 52,589 : x
  2. Step 2: Convert to fraction form
    97,301/134,275.38 = 52,589/x
  3. Step 3: Cross multiply
    97,301x = 134,275.38 × 52,589
  4. Step 4: Simplify right side
    97,301x = 7,061,407,958.82
  5. Step 5: Solve for x
    x = 7,061,407,958.82/97,301
  6. Step 6: Final answer
    x = 72,572.82

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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.