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Finding the Fourth Proportional to 82,970.94, 124,457.07 and 33,063.74

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Solution

The fourth proportional to 82,970.94, 124,457.07 and 33,063.74 is: 49,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,970.94 : 124,457.07 = 33,063.74 : x
  2. Step 2: Convert to fraction form
    82,970.94/124,457.07 = 33,063.74/x
  3. Step 3: Cross multiply
    82,970.94x = 124,457.07 × 33,063.74
  4. Step 4: Simplify right side
    82,970.94x = 4,115,016,172.06
  5. Step 5: Solve for x
    x = 4,115,016,172.06/82,970.94
  6. Step 6: Final answer
    x = 49,595.87

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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.