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Finding the Fourth Proportional to 42,783.60, 64,165.80 and 20,585.64

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Solution

The fourth proportional to 42,783.60, 64,165.80 and 20,585.64 is: 30,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783.60 : 64,165.80 = 20,585.64 : x
  2. Step 2: Convert to fraction form
    42,783.60/64,165.80 = 20,585.64/x
  3. Step 3: Cross multiply
    42,783.60x = 64,165.80 × 20,585.64
  4. Step 4: Simplify right side
    42,783.60x = 1,320,894,059.11
  5. Step 5: Solve for x
    x = 1,320,894,059.11/42,783.60
  6. Step 6: Final answer
    x = 30,873.84

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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.