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Finding the Fourth Proportional to 53,485.48, 73,807.49 and 30,828.50

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Solution

The fourth proportional to 53,485.48, 73,807.49 and 30,828.50 is: 42,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485.48 : 73,807.49 = 30,828.50 : x
  2. Step 2: Convert to fraction form
    53,485.48/73,807.49 = 30,828.50/x
  3. Step 3: Cross multiply
    53,485.48x = 73,807.49 × 30,828.50
  4. Step 4: Simplify right side
    53,485.48x = 2,275,374,146.92
  5. Step 5: Solve for x
    x = 2,275,374,146.92/53,485.48
  6. Step 6: Final answer
    x = 42,541.91

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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.