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Finding the Fourth Proportional to 61,178.93, 91,683.06 and 33,038.40

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Solution

The fourth proportional to 61,178.93, 91,683.06 and 33,038.40 is: 49,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178.93 : 91,683.06 = 33,038.40 : x
  2. Step 2: Convert to fraction form
    61,178.93/91,683.06 = 33,038.40/x
  3. Step 3: Cross multiply
    61,178.93x = 91,683.06 × 33,038.40
  4. Step 4: Simplify right side
    61,178.93x = 3,029,061,609.50
  5. Step 5: Solve for x
    x = 3,029,061,609.50/61,178.93
  6. Step 6: Final answer
    x = 49,511.52

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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.