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Finding the Fourth Proportional to 96,636, 145,032.48 and 49,902.24

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Solution

The fourth proportional to 96,636, 145,032.48 and 49,902.24 is: 74,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,636 : 145,032.48 = 49,902.24 : x
  2. Step 2: Convert to fraction form
    96,636/145,032.48 = 49,902.24/x
  3. Step 3: Cross multiply
    96,636x = 145,032.48 × 49,902.24
  4. Step 4: Simplify right side
    96,636x = 7,237,445,624.76
  5. Step 5: Solve for x
    x = 7,237,445,624.76/96,636
  6. Step 6: Final answer
    x = 74,893.89

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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.