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Finding the Fourth Proportional to 48,449.91, 72,674.75 and 13,389.47

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Solution

The fourth proportional to 48,449.91, 72,674.75 and 13,389.47 is: 20,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,449.91 : 72,674.75 = 13,389.47 : x
  2. Step 2: Convert to fraction form
    48,449.91/72,674.75 = 13,389.47/x
  3. Step 3: Cross multiply
    48,449.91x = 72,674.75 × 13,389.47
  4. Step 4: Simplify right side
    48,449.91x = 973,076,327.51
  5. Step 5: Solve for x
    x = 973,076,327.51/48,449.91
  6. Step 6: Final answer
    x = 20,084.17

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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.