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Finding the Fourth Proportional to 30,733.55, 42,421.70 and 17,989.71

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Solution

The fourth proportional to 30,733.55, 42,421.70 and 17,989.71 is: 24,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.55 : 42,421.70 = 17,989.71 : x
  2. Step 2: Convert to fraction form
    30,733.55/42,421.70 = 17,989.71/x
  3. Step 3: Cross multiply
    30,733.55x = 42,421.70 × 17,989.71
  4. Step 4: Simplify right side
    30,733.55x = 763,153,990.76
  5. Step 5: Solve for x
    x = 763,153,990.76/30,733.55
  6. Step 6: Final answer
    x = 24,831.30

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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.