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Finding the Fourth Proportional to 53,140.32, 73,314.48 and 35,244

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Solution

The fourth proportional to 53,140.32, 73,314.48 and 35,244 is: 48,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,140.32 : 73,314.48 = 35,244 : x
  2. Step 2: Convert to fraction form
    53,140.32/73,314.48 = 35,244/x
  3. Step 3: Cross multiply
    53,140.32x = 73,314.48 × 35,244
  4. Step 4: Simplify right side
    53,140.32x = 2,583,895,533.12
  5. Step 5: Solve for x
    x = 2,583,895,533.12/53,140.32
  6. Step 6: Final answer
    x = 48,624.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.