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Finding the Fourth Proportional to 82,970.19, 124,416.41 and 30,342.87

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Solution

The fourth proportional to 82,970.19, 124,416.41 and 30,342.87 is: 45,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,970.19 : 124,416.41 = 30,342.87 : x
  2. Step 2: Convert to fraction form
    82,970.19/124,416.41 = 30,342.87/x
  3. Step 3: Cross multiply
    82,970.19x = 124,416.41 × 30,342.87
  4. Step 4: Simplify right side
    82,970.19x = 3,775,150,802.78
  5. Step 5: Solve for x
    x = 3,775,150,802.78/82,970.19
  6. Step 6: Final answer
    x = 45,500.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.