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Finding the Fourth Proportional to 85,973.30, 129,007.02 and 33,384.86

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Solution

The fourth proportional to 85,973.30, 129,007.02 and 33,384.86 is: 50,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,973.30 : 129,007.02 = 33,384.86 : x
  2. Step 2: Convert to fraction form
    85,973.30/129,007.02 = 33,384.86/x
  3. Step 3: Cross multiply
    85,973.30x = 129,007.02 × 33,384.86
  4. Step 4: Simplify right side
    85,973.30x = 4,306,881,301.72
  5. Step 5: Solve for x
    x = 4,306,881,301.72/85,973.30
  6. Step 6: Final answer
    x = 50,095.57

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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.