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Finding the Fourth Proportional to 32,466.54, 48,701.66 and 9,094.80

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Solution

The fourth proportional to 32,466.54, 48,701.66 and 9,094.80 is: 13,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.54 : 48,701.66 = 9,094.80 : x
  2. Step 2: Convert to fraction form
    32,466.54/48,701.66 = 9,094.80/x
  3. Step 3: Cross multiply
    32,466.54x = 48,701.66 × 9,094.80
  4. Step 4: Simplify right side
    32,466.54x = 442,931,857.37
  5. Step 5: Solve for x
    x = 442,931,857.37/32,466.54
  6. Step 6: Final answer
    x = 13,642.72

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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.