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Finding the Fourth Proportional to 82,970.69, 124,417.16 and 30,343.37

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Solution

The fourth proportional to 82,970.69, 124,417.16 and 30,343.37 is: 45,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,970.69 : 124,417.16 = 30,343.37 : x
  2. Step 2: Convert to fraction form
    82,970.69/124,417.16 = 30,343.37/x
  3. Step 3: Cross multiply
    82,970.69x = 124,417.16 × 30,343.37
  4. Step 4: Simplify right side
    82,970.69x = 3,775,235,768.51
  5. Step 5: Solve for x
    x = 3,775,235,768.51/82,970.69
  6. Step 6: Final answer
    x = 45,500.84

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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.