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Finding the Fourth Proportional to 57,683, 79,530.42 and 48,136.64

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Solution

The fourth proportional to 57,683, 79,530.42 and 48,136.64 is: 66,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,683 : 79,530.42 = 48,136.64 : x
  2. Step 2: Convert to fraction form
    57,683/79,530.42 = 48,136.64/x
  3. Step 3: Cross multiply
    57,683x = 79,530.42 × 48,136.64
  4. Step 4: Simplify right side
    57,683x = 3,828,327,196.59
  5. Step 5: Solve for x
    x = 3,828,327,196.59/57,683
  6. Step 6: Final answer
    x = 66,368.38

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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.