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Finding the Fourth Proportional to 32,706.24, 45,136 and 18,560.40

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Solution

The fourth proportional to 32,706.24, 45,136 and 18,560.40 is: 25,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.24 : 45,136 = 18,560.40 : x
  2. Step 2: Convert to fraction form
    32,706.24/45,136 = 18,560.40/x
  3. Step 3: Cross multiply
    32,706.24x = 45,136 × 18,560.40
  4. Step 4: Simplify right side
    32,706.24x = 837,742,214.40
  5. Step 5: Solve for x
    x = 837,742,214.40/32,706.24
  6. Step 6: Final answer
    x = 25,614.14

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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.