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Finding the Fourth Proportional to 92,007.31, 137,946.39 and 35,800.06

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Solution

The fourth proportional to 92,007.31, 137,946.39 and 35,800.06 is: 53,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,007.31 : 137,946.39 = 35,800.06 : x
  2. Step 2: Convert to fraction form
    92,007.31/137,946.39 = 35,800.06/x
  3. Step 3: Cross multiply
    92,007.31x = 137,946.39 × 35,800.06
  4. Step 4: Simplify right side
    92,007.31x = 4,938,489,038.78
  5. Step 5: Solve for x
    x = 4,938,489,038.78/92,007.31
  6. Step 6: Final answer
    x = 53,674.96

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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.