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Finding the Fourth Proportional to 105,216, 157,785.60 and 35,074.56

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Solution

The fourth proportional to 105,216, 157,785.60 and 35,074.56 is: 52,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,216 : 157,785.60 = 35,074.56 : x
  2. Step 2: Convert to fraction form
    105,216/157,785.60 = 35,074.56/x
  3. Step 3: Cross multiply
    105,216x = 157,785.60 × 35,074.56
  4. Step 4: Simplify right side
    105,216x = 5,534,260,494.34
  5. Step 5: Solve for x
    x = 5,534,260,494.34/105,216
  6. Step 6: Final answer
    x = 52,599.04

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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.