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Finding the Fourth Proportional to 32,282, 44,551.60 and 19,709.18

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Solution

The fourth proportional to 32,282, 44,551.60 and 19,709.18 is: 27,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282 : 44,551.60 = 19,709.18 : x
  2. Step 2: Convert to fraction form
    32,282/44,551.60 = 19,709.18/x
  3. Step 3: Cross multiply
    32,282x = 44,551.60 × 19,709.18
  4. Step 4: Simplify right side
    32,282x = 878,075,503.69
  5. Step 5: Solve for x
    x = 878,075,503.69/32,282
  6. Step 6: Final answer
    x = 27,200.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.