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Finding the Fourth Proportional to 105,652.48, 158,477.52 and 25,690.90

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Solution

The fourth proportional to 105,652.48, 158,477.52 and 25,690.90 is: 38,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.48 : 158,477.52 = 25,690.90 : x
  2. Step 2: Convert to fraction form
    105,652.48/158,477.52 = 25,690.90/x
  3. Step 3: Cross multiply
    105,652.48x = 158,477.52 × 25,690.90
  4. Step 4: Simplify right side
    105,652.48x = 4,071,430,118.57
  5. Step 5: Solve for x
    x = 4,071,430,118.57/105,652.48
  6. Step 6: Final answer
    x = 38,536.06

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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.