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Finding the Fourth Proportional to 32,883.78, 49,325.64 and 9,510.18

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Solution

The fourth proportional to 32,883.78, 49,325.64 and 9,510.18 is: 14,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.78 : 49,325.64 = 9,510.18 : x
  2. Step 2: Convert to fraction form
    32,883.78/49,325.64 = 9,510.18/x
  3. Step 3: Cross multiply
    32,883.78x = 49,325.64 × 9,510.18
  4. Step 4: Simplify right side
    32,883.78x = 469,095,715.02
  5. Step 5: Solve for x
    x = 469,095,715.02/32,883.78
  6. Step 6: Final answer
    x = 14,265.26

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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.