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Finding the Fourth Proportional to 48,137.72, 72,180.14 and 14,848.56

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Solution

The fourth proportional to 48,137.72, 72,180.14 and 14,848.56 is: 22,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,137.72 : 72,180.14 = 14,848.56 : x
  2. Step 2: Convert to fraction form
    48,137.72/72,180.14 = 14,848.56/x
  3. Step 3: Cross multiply
    48,137.72x = 72,180.14 × 14,848.56
  4. Step 4: Simplify right side
    48,137.72x = 1,071,771,065.36
  5. Step 5: Solve for x
    x = 1,071,771,065.36/48,137.72
  6. Step 6: Final answer
    x = 22,264.69

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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.