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Finding the Fourth Proportional to 97,483.89, 146,113.75 and 44,782.66

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Solution

The fourth proportional to 97,483.89, 146,113.75 and 44,782.66 is: 67,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483.89 : 146,113.75 = 44,782.66 : x
  2. Step 2: Convert to fraction form
    97,483.89/146,113.75 = 44,782.66/x
  3. Step 3: Cross multiply
    97,483.89x = 146,113.75 × 44,782.66
  4. Step 4: Simplify right side
    97,483.89x = 6,543,362,387.58
  5. Step 5: Solve for x
    x = 6,543,362,387.58/97,483.89
  6. Step 6: Final answer
    x = 67,122.50

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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.