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Finding the Fourth Proportional to 61,632, 92,463.36 and 17,856

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Solution

The fourth proportional to 61,632, 92,463.36 and 17,856 is: 26,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,632 : 92,463.36 = 17,856 : x
  2. Step 2: Convert to fraction form
    61,632/92,463.36 = 17,856/x
  3. Step 3: Cross multiply
    61,632x = 92,463.36 × 17,856
  4. Step 4: Simplify right side
    61,632x = 1,651,025,756.16
  5. Step 5: Solve for x
    x = 1,651,025,756.16/61,632
  6. Step 6: Final answer
    x = 26,788.45

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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.