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Finding the Fourth Proportional to 52,704.81, 72,727.47 and 30,042

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Solution

The fourth proportional to 52,704.81, 72,727.47 and 30,042 is: 41,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,704.81 : 72,727.47 = 30,042 : x
  2. Step 2: Convert to fraction form
    52,704.81/72,727.47 = 30,042/x
  3. Step 3: Cross multiply
    52,704.81x = 72,727.47 × 30,042
  4. Step 4: Simplify right side
    52,704.81x = 2,184,878,653.74
  5. Step 5: Solve for x
    x = 2,184,878,653.74/52,704.81
  6. Step 6: Final answer
    x = 41,455.01

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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.