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Finding the Fourth Proportional to 64,822, 97,233 and 15,574

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Solution

The fourth proportional to 64,822, 97,233 and 15,574 is: 23,361

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822 : 97,233 = 15,574 : x
  2. Step 2: Convert to fraction form
    64,822/97,233 = 15,574/x
  3. Step 3: Cross multiply
    64,822x = 97,233 × 15,574
  4. Step 4: Simplify right side
    64,822x = 1,514,306,742
  5. Step 5: Solve for x
    x = 1,514,306,742/64,822
  6. Step 6: Final answer
    x = 23,361

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