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Finding the Fourth Proportional to 30,909.75, 42,655.47 and 16,762.62

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Solution

The fourth proportional to 30,909.75, 42,655.47 and 16,762.62 is: 23,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.75 : 42,655.47 = 16,762.62 : x
  2. Step 2: Convert to fraction form
    30,909.75/42,655.47 = 16,762.62/x
  3. Step 3: Cross multiply
    30,909.75x = 42,655.47 × 16,762.62
  4. Step 4: Simplify right side
    30,909.75x = 715,017,434.53
  5. Step 5: Solve for x
    x = 715,017,434.53/30,909.75
  6. Step 6: Final answer
    x = 23,132.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.