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Finding the Fourth Proportional to 30,923.84, 42,710.40 and 20,360.72

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Solution

The fourth proportional to 30,923.84, 42,710.40 and 20,360.72 is: 28,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.84 : 42,710.40 = 20,360.72 : x
  2. Step 2: Convert to fraction form
    30,923.84/42,710.40 = 20,360.72/x
  3. Step 3: Cross multiply
    30,923.84x = 42,710.40 × 20,360.72
  4. Step 4: Simplify right side
    30,923.84x = 869,614,495.49
  5. Step 5: Solve for x
    x = 869,614,495.49/30,923.84
  6. Step 6: Final answer
    x = 28,121.17

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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.