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Finding the Fourth Proportional to 106,807.29, 160,175.70 and 39,323.76

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Solution

The fourth proportional to 106,807.29, 160,175.70 and 39,323.76 is: 58,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.29 : 160,175.70 = 39,323.76 : x
  2. Step 2: Convert to fraction form
    106,807.29/160,175.70 = 39,323.76/x
  3. Step 3: Cross multiply
    106,807.29x = 160,175.70 × 39,323.76
  4. Step 4: Simplify right side
    106,807.29x = 6,298,710,784.63
  5. Step 5: Solve for x
    x = 6,298,710,784.63/106,807.29
  6. Step 6: Final answer
    x = 58,972.67

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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.