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Finding the Fourth Proportional to 64,505.14, 89,030.19 and 37,282.38

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Solution

The fourth proportional to 64,505.14, 89,030.19 and 37,282.38 is: 51,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505.14 : 89,030.19 = 37,282.38 : x
  2. Step 2: Convert to fraction form
    64,505.14/89,030.19 = 37,282.38/x
  3. Step 3: Cross multiply
    64,505.14x = 89,030.19 × 37,282.38
  4. Step 4: Simplify right side
    64,505.14x = 3,319,257,375.05
  5. Step 5: Solve for x
    x = 3,319,257,375.05/64,505.14
  6. Step 6: Final answer
    x = 51,457.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.