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Finding the Fourth Proportional to 30,564.40, 45,846.60 and 29,543.80

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Solution

The fourth proportional to 30,564.40, 45,846.60 and 29,543.80 is: 44,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.40 : 45,846.60 = 29,543.80 : x
  2. Step 2: Convert to fraction form
    30,564.40/45,846.60 = 29,543.80/x
  3. Step 3: Cross multiply
    30,564.40x = 45,846.60 × 29,543.80
  4. Step 4: Simplify right side
    30,564.40x = 1,354,482,781.08
  5. Step 5: Solve for x
    x = 1,354,482,781.08/30,564.40
  6. Step 6: Final answer
    x = 44,315.70

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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.