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Finding the Fourth Proportional to 30,142.52, 45,206.22 and 14,337.80

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Solution

The fourth proportional to 30,142.52, 45,206.22 and 14,337.80 is: 21,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.52 : 45,206.22 = 14,337.80 : x
  2. Step 2: Convert to fraction form
    30,142.52/45,206.22 = 14,337.80/x
  3. Step 3: Cross multiply
    30,142.52x = 45,206.22 × 14,337.80
  4. Step 4: Simplify right side
    30,142.52x = 648,157,741.12
  5. Step 5: Solve for x
    x = 648,157,741.12/30,142.52
  6. Step 6: Final answer
    x = 21,503.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.