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Finding the Fourth Proportional to 45,321, 62,533.50 and 27,412.50

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Solution

The fourth proportional to 45,321, 62,533.50 and 27,412.50 is: 37,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,321 : 62,533.50 = 27,412.50 : x
  2. Step 2: Convert to fraction form
    45,321/62,533.50 = 27,412.50/x
  3. Step 3: Cross multiply
    45,321x = 62,533.50 × 27,412.50
  4. Step 4: Simplify right side
    45,321x = 1,714,199,568.75
  5. Step 5: Solve for x
    x = 1,714,199,568.75/45,321
  6. Step 6: Final answer
    x = 37,823.52

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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.