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Finding the Fourth Proportional to 30,909.50, 42,655.14 and 16,762.35

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Solution

The fourth proportional to 30,909.50, 42,655.14 and 16,762.35 is: 23,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.50 : 42,655.14 = 16,762.35 : x
  2. Step 2: Convert to fraction form
    30,909.50/42,655.14 = 16,762.35/x
  3. Step 3: Cross multiply
    30,909.50x = 42,655.14 × 16,762.35
  4. Step 4: Simplify right side
    30,909.50x = 715,000,306.00
  5. Step 5: Solve for x
    x = 715,000,306.00/30,909.50
  6. Step 6: Final answer
    x = 23,132.05

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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.