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Finding the Fourth Proportional to 101,484.71, 140,046 and 56,164.58

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Solution

The fourth proportional to 101,484.71, 140,046 and 56,164.58 is: 77,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,484.71 : 140,046 = 56,164.58 : x
  2. Step 2: Convert to fraction form
    101,484.71/140,046 = 56,164.58/x
  3. Step 3: Cross multiply
    101,484.71x = 140,046 × 56,164.58
  4. Step 4: Simplify right side
    101,484.71x = 7,865,624,770.68
  5. Step 5: Solve for x
    x = 7,865,624,770.68/101,484.71
  6. Step 6: Final answer
    x = 77,505.52

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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.