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Finding the Fourth Proportional to 116,396, 174,566.32 and 32,154.30

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Solution

The fourth proportional to 116,396, 174,566.32 and 32,154.30 is: 48,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,396 : 174,566.32 = 32,154.30 : x
  2. Step 2: Convert to fraction form
    116,396/174,566.32 = 32,154.30/x
  3. Step 3: Cross multiply
    116,396x = 174,566.32 × 32,154.30
  4. Step 4: Simplify right side
    116,396x = 5,613,057,823.18
  5. Step 5: Solve for x
    x = 5,613,057,823.18/116,396
  6. Step 6: Final answer
    x = 48,223.80

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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.