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Finding the Fourth Proportional to 65,463.14, 90,412.71 and 44,205.50

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Solution

The fourth proportional to 65,463.14, 90,412.71 and 44,205.50 is: 61,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,463.14 : 90,412.71 = 44,205.50 : x
  2. Step 2: Convert to fraction form
    65,463.14/90,412.71 = 44,205.50/x
  3. Step 3: Cross multiply
    65,463.14x = 90,412.71 × 44,205.50
  4. Step 4: Simplify right side
    65,463.14x = 3,996,739,051.91
  5. Step 5: Solve for x
    x = 3,996,739,051.91/65,463.14
  6. Step 6: Final answer
    x = 61,053.27

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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.