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Finding the Fourth Proportional to 101,501.10, 152,164.17 and 48,838.14

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Solution

The fourth proportional to 101,501.10, 152,164.17 and 48,838.14 is: 73,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,501.10 : 152,164.17 = 48,838.14 : x
  2. Step 2: Convert to fraction form
    101,501.10/152,164.17 = 48,838.14/x
  3. Step 3: Cross multiply
    101,501.10x = 152,164.17 × 48,838.14
  4. Step 4: Simplify right side
    101,501.10x = 7,431,415,037.44
  5. Step 5: Solve for x
    x = 7,431,415,037.44/101,501.10
  6. Step 6: Final answer
    x = 73,215.12

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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.