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Finding the Fourth Proportional to 61,106.51, 84,326.86 and 34,249.01

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Solution

The fourth proportional to 61,106.51, 84,326.86 and 34,249.01 is: 47,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,106.51 : 84,326.86 = 34,249.01 : x
  2. Step 2: Convert to fraction form
    61,106.51/84,326.86 = 34,249.01/x
  3. Step 3: Cross multiply
    61,106.51x = 84,326.86 × 34,249.01
  4. Step 4: Simplify right side
    61,106.51x = 2,888,111,471.41
  5. Step 5: Solve for x
    x = 2,888,111,471.41/61,106.51
  6. Step 6: Final answer
    x = 47,263.56

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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.