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Finding the Fourth Proportional to 40,803.40, 61,205.10 and 23,307.40

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Solution

The fourth proportional to 40,803.40, 61,205.10 and 23,307.40 is: 34,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803.40 : 61,205.10 = 23,307.40 : x
  2. Step 2: Convert to fraction form
    40,803.40/61,205.10 = 23,307.40/x
  3. Step 3: Cross multiply
    40,803.40x = 61,205.10 × 23,307.40
  4. Step 4: Simplify right side
    40,803.40x = 1,426,531,747.74
  5. Step 5: Solve for x
    x = 1,426,531,747.74/40,803.40
  6. Step 6: Final answer
    x = 34,961.10

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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.