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Finding the Fourth Proportional to 30,565.89, 45,862.02 and 16,535.84

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Solution

The fourth proportional to 30,565.89, 45,862.02 and 16,535.84 is: 24,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.89 : 45,862.02 = 16,535.84 : x
  2. Step 2: Convert to fraction form
    30,565.89/45,862.02 = 16,535.84/x
  3. Step 3: Cross multiply
    30,565.89x = 45,862.02 × 16,535.84
  4. Step 4: Simplify right side
    30,565.89x = 758,366,795.49
  5. Step 5: Solve for x
    x = 758,366,795.49/30,565.89
  6. Step 6: Final answer
    x = 24,810.89

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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.