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Finding the Fourth Proportional to 30,762.23, 42,452.75 and 17,332.74

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Solution

The fourth proportional to 30,762.23, 42,452.75 and 17,332.74 is: 23,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.23 : 42,452.75 = 17,332.74 : x
  2. Step 2: Convert to fraction form
    30,762.23/42,452.75 = 17,332.74/x
  3. Step 3: Cross multiply
    30,762.23x = 42,452.75 × 17,332.74
  4. Step 4: Simplify right side
    30,762.23x = 735,822,521.37
  5. Step 5: Solve for x
    x = 735,822,521.37/30,762.23
  6. Step 6: Final answer
    x = 23,919.68

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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.