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Finding the Fourth Proportional to 67,478.40, 101,106.81 and 23,080.93

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Solution

The fourth proportional to 67,478.40, 101,106.81 and 23,080.93 is: 34,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478.40 : 101,106.81 = 23,080.93 : x
  2. Step 2: Convert to fraction form
    67,478.40/101,106.81 = 23,080.93/x
  3. Step 3: Cross multiply
    67,478.40x = 101,106.81 × 23,080.93
  4. Step 4: Simplify right side
    67,478.40x = 2,333,639,204.13
  5. Step 5: Solve for x
    x = 2,333,639,204.13/67,478.40
  6. Step 6: Final answer
    x = 34,583.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.