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Finding the Fourth Proportional to 96,581, 133,282.26 and 56,322.68

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Solution

The fourth proportional to 96,581, 133,282.26 and 56,322.68 is: 77,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,581 : 133,282.26 = 56,322.68 : x
  2. Step 2: Convert to fraction form
    96,581/133,282.26 = 56,322.68/x
  3. Step 3: Cross multiply
    96,581x = 133,282.26 × 56,322.68
  4. Step 4: Simplify right side
    96,581x = 7,506,814,079.66
  5. Step 5: Solve for x
    x = 7,506,814,079.66/96,581
  6. Step 6: Final answer
    x = 77,725.58

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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.