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Finding the Fourth Proportional to 30,813.48, 42,522.30 and 16,666.02

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Solution

The fourth proportional to 30,813.48, 42,522.30 and 16,666.02 is: 22,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.48 : 42,522.30 = 16,666.02 : x
  2. Step 2: Convert to fraction form
    30,813.48/42,522.30 = 16,666.02/x
  3. Step 3: Cross multiply
    30,813.48x = 42,522.30 × 16,666.02
  4. Step 4: Simplify right side
    30,813.48x = 708,677,502.25
  5. Step 5: Solve for x
    x = 708,677,502.25/30,813.48
  6. Step 6: Final answer
    x = 22,998.94

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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.