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Finding the Fourth Proportional to 101,346.14, 152,052 and 48,748.76

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Solution

The fourth proportional to 101,346.14, 152,052 and 48,748.76 is: 73,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346.14 : 152,052 = 48,748.76 : x
  2. Step 2: Convert to fraction form
    101,346.14/152,052 = 48,748.76/x
  3. Step 3: Cross multiply
    101,346.14x = 152,052 × 48,748.76
  4. Step 4: Simplify right side
    101,346.14x = 7,412,346,455.52
  5. Step 5: Solve for x
    x = 7,412,346,455.52/101,346.14
  6. Step 6: Final answer
    x = 73,138.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.