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Finding the Fourth Proportional to 53,653.50, 74,041.83 and 29,784.03

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Solution

The fourth proportional to 53,653.50, 74,041.83 and 29,784.03 is: 41,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653.50 : 74,041.83 = 29,784.03 : x
  2. Step 2: Convert to fraction form
    53,653.50/74,041.83 = 29,784.03/x
  3. Step 3: Cross multiply
    53,653.50x = 74,041.83 × 29,784.03
  4. Step 4: Simplify right side
    53,653.50x = 2,205,264,085.97
  5. Step 5: Solve for x
    x = 2,205,264,085.97/53,653.50
  6. Step 6: Final answer
    x = 41,101.96

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Why These Related Problems?

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