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Finding the Fourth Proportional to 49,801.48, 74,701.98 and 14,741.32

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Solution

The fourth proportional to 49,801.48, 74,701.98 and 14,741.32 is: 22,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801.48 : 74,701.98 = 14,741.32 : x
  2. Step 2: Convert to fraction form
    49,801.48/74,701.98 = 14,741.32/x
  3. Step 3: Cross multiply
    49,801.48x = 74,701.98 × 14,741.32
  4. Step 4: Simplify right side
    49,801.48x = 1,101,205,791.81
  5. Step 5: Solve for x
    x = 1,101,205,791.81/49,801.48
  6. Step 6: Final answer
    x = 22,111.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.