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Finding the Fourth Proportional to 115,295.34, 172,948.32 and 35,327.58

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Solution

The fourth proportional to 115,295.34, 172,948.32 and 35,327.58 is: 52,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,295.34 : 172,948.32 = 35,327.58 : x
  2. Step 2: Convert to fraction form
    115,295.34/172,948.32 = 35,327.58/x
  3. Step 3: Cross multiply
    115,295.34x = 172,948.32 × 35,327.58
  4. Step 4: Simplify right side
    115,295.34x = 6,109,845,610.67
  5. Step 5: Solve for x
    x = 6,109,845,610.67/115,295.34
  6. Step 6: Final answer
    x = 52,993.00

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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.