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Finding the Fourth Proportional to 47,100.84, 70,711.23 and 30,530.21

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Solution

The fourth proportional to 47,100.84, 70,711.23 and 30,530.21 is: 45,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,100.84 : 70,711.23 = 30,530.21 : x
  2. Step 2: Convert to fraction form
    47,100.84/70,711.23 = 30,530.21/x
  3. Step 3: Cross multiply
    47,100.84x = 70,711.23 × 30,530.21
  4. Step 4: Simplify right side
    47,100.84x = 2,158,828,347.70
  5. Step 5: Solve for x
    x = 2,158,828,347.70/47,100.84
  6. Step 6: Final answer
    x = 45,834.18

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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.