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Finding the Fourth Proportional to 33,065.02, 49,597.93 and 9,691.93

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Solution

The fourth proportional to 33,065.02, 49,597.93 and 9,691.93 is: 14,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065.02 : 49,597.93 = 9,691.93 : x
  2. Step 2: Convert to fraction form
    33,065.02/49,597.93 = 9,691.93/x
  3. Step 3: Cross multiply
    33,065.02x = 49,597.93 × 9,691.93
  4. Step 4: Simplify right side
    33,065.02x = 480,699,417.72
  5. Step 5: Solve for x
    x = 480,699,417.72/33,065.02
  6. Step 6: Final answer
    x = 14,538.01

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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.