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Finding the Fourth Proportional to 64,111.84, 96,081.80 and 49,897.49

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Solution

The fourth proportional to 64,111.84, 96,081.80 and 49,897.49 is: 74,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,111.84 : 96,081.80 = 49,897.49 : x
  2. Step 2: Convert to fraction form
    64,111.84/96,081.80 = 49,897.49/x
  3. Step 3: Cross multiply
    64,111.84x = 96,081.80 × 49,897.49
  4. Step 4: Simplify right side
    64,111.84x = 4,794,239,924.79
  5. Step 5: Solve for x
    x = 4,794,239,924.79/64,111.84
  6. Step 6: Final answer
    x = 74,779.32

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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.