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Finding the Fourth Proportional to 95,095.24, 142,656.06 and 32,749

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Solution

The fourth proportional to 95,095.24, 142,656.06 and 32,749 is: 49,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,095.24 : 142,656.06 = 32,749 : x
  2. Step 2: Convert to fraction form
    95,095.24/142,656.06 = 32,749/x
  3. Step 3: Cross multiply
    95,095.24x = 142,656.06 × 32,749
  4. Step 4: Simplify right side
    95,095.24x = 4,671,843,308.94
  5. Step 5: Solve for x
    x = 4,671,843,308.94/95,095.24
  6. Step 6: Final answer
    x = 49,128.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.