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Finding the Fourth Proportional to 38,735.25, 58,095.36 and 10,648.10

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Solution

The fourth proportional to 38,735.25, 58,095.36 and 10,648.10 is: 15,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,735.25 : 58,095.36 = 10,648.10 : x
  2. Step 2: Convert to fraction form
    38,735.25/58,095.36 = 10,648.10/x
  3. Step 3: Cross multiply
    38,735.25x = 58,095.36 × 10,648.10
  4. Step 4: Simplify right side
    38,735.25x = 618,605,202.82
  5. Step 5: Solve for x
    x = 618,605,202.82/38,735.25
  6. Step 6: Final answer
    x = 15,970.08

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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.