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Finding the Fourth Proportional to 49,357.34, 74,068.80 and 23,064.12

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Solution

The fourth proportional to 49,357.34, 74,068.80 and 23,064.12 is: 34,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,357.34 : 74,068.80 = 23,064.12 : x
  2. Step 2: Convert to fraction form
    49,357.34/74,068.80 = 23,064.12/x
  3. Step 3: Cross multiply
    49,357.34x = 74,068.80 × 23,064.12
  4. Step 4: Simplify right side
    49,357.34x = 1,708,331,691.46
  5. Step 5: Solve for x
    x = 1,708,331,691.46/49,357.34
  6. Step 6: Final answer
    x = 34,611.50

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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.