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Finding the Fourth Proportional to 39,440, 59,168.64 and 14,816

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Solution

The fourth proportional to 39,440, 59,168.64 and 14,816 is: 22,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,440 : 59,168.64 = 14,816 : x
  2. Step 2: Convert to fraction form
    39,440/59,168.64 = 14,816/x
  3. Step 3: Cross multiply
    39,440x = 59,168.64 × 14,816
  4. Step 4: Simplify right side
    39,440x = 876,642,570.24
  5. Step 5: Solve for x
    x = 876,642,570.24/39,440
  6. Step 6: Final answer
    x = 22,227.25

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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.