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Finding the Fourth Proportional to 42,784.40, 64,177.46 and 14,704.16

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Solution

The fourth proportional to 42,784.40, 64,177.46 and 14,704.16 is: 22,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,784.40 : 64,177.46 = 14,704.16 : x
  2. Step 2: Convert to fraction form
    42,784.40/64,177.46 = 14,704.16/x
  3. Step 3: Cross multiply
    42,784.40x = 64,177.46 × 14,704.16
  4. Step 4: Simplify right side
    42,784.40x = 943,675,640.23
  5. Step 5: Solve for x
    x = 943,675,640.23/42,784.40
  6. Step 6: Final answer
    x = 22,056.54

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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.