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Finding the Fourth Proportional to 35,873.60, 53,786.10 and 19,009.40

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Solution

The fourth proportional to 35,873.60, 53,786.10 and 19,009.40 is: 28,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,873.60 : 53,786.10 = 19,009.40 : x
  2. Step 2: Convert to fraction form
    35,873.60/53,786.10 = 19,009.40/x
  3. Step 3: Cross multiply
    35,873.60x = 53,786.10 × 19,009.40
  4. Step 4: Simplify right side
    35,873.60x = 1,022,441,489.34
  5. Step 5: Solve for x
    x = 1,022,441,489.34/35,873.60
  6. Step 6: Final answer
    x = 28,501.22

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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.