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Finding the Fourth Proportional to 32,946.93, 49,425.21 and 9,570.33

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Solution

The fourth proportional to 32,946.93, 49,425.21 and 9,570.33 is: 14,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.93 : 49,425.21 = 9,570.33 : x
  2. Step 2: Convert to fraction form
    32,946.93/49,425.21 = 9,570.33/x
  3. Step 3: Cross multiply
    32,946.93x = 49,425.21 × 9,570.33
  4. Step 4: Simplify right side
    32,946.93x = 473,015,570.02
  5. Step 5: Solve for x
    x = 473,015,570.02/32,946.93
  6. Step 6: Final answer
    x = 14,356.89

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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.