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Finding the Fourth Proportional to 48,113.43, 72,169.93 and 13,053.07

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Solution

The fourth proportional to 48,113.43, 72,169.93 and 13,053.07 is: 19,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,113.43 : 72,169.93 = 13,053.07 : x
  2. Step 2: Convert to fraction form
    48,113.43/72,169.93 = 13,053.07/x
  3. Step 3: Cross multiply
    48,113.43x = 72,169.93 × 13,053.07
  4. Step 4: Simplify right side
    48,113.43x = 942,039,148.19
  5. Step 5: Solve for x
    x = 942,039,148.19/48,113.43
  6. Step 6: Final answer
    x = 19,579.55

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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.