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Finding the Fourth Proportional to 54,024.54, 74,511 and 32,803.35

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Solution

The fourth proportional to 54,024.54, 74,511 and 32,803.35 is: 45,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,024.54 : 74,511 = 32,803.35 : x
  2. Step 2: Convert to fraction form
    54,024.54/74,511 = 32,803.35/x
  3. Step 3: Cross multiply
    54,024.54x = 74,511 × 32,803.35
  4. Step 4: Simplify right side
    54,024.54x = 2,444,210,411.85
  5. Step 5: Solve for x
    x = 2,444,210,411.85/54,024.54
  6. Step 6: Final answer
    x = 45,242.60

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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.