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Finding the Fourth Proportional to 101,347.14, 152,053.50 and 48,749.76

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Solution

The fourth proportional to 101,347.14, 152,053.50 and 48,749.76 is: 73,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,347.14 : 152,053.50 = 48,749.76 : x
  2. Step 2: Convert to fraction form
    101,347.14/152,053.50 = 48,749.76/x
  3. Step 3: Cross multiply
    101,347.14x = 152,053.50 × 48,749.76
  4. Step 4: Simplify right side
    101,347.14x = 7,412,571,632.16
  5. Step 5: Solve for x
    x = 7,412,571,632.16/101,347.14
  6. Step 6: Final answer
    x = 73,140.41

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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.