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Finding the Fourth Proportional to 32,431, 48,583.56 and 21,303.92

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Solution

The fourth proportional to 32,431, 48,583.56 and 21,303.92 is: 31,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431 : 48,583.56 = 21,303.92 : x
  2. Step 2: Convert to fraction form
    32,431/48,583.56 = 21,303.92/x
  3. Step 3: Cross multiply
    32,431x = 48,583.56 × 21,303.92
  4. Step 4: Simplify right side
    32,431x = 1,035,020,275.56
  5. Step 5: Solve for x
    x = 1,035,020,275.56/32,431
  6. Step 6: Final answer
    x = 31,914.53

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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.