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Finding the Fourth Proportional to 53,842.40, 80,734.80 and 18,783.20

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Solution

The fourth proportional to 53,842.40, 80,734.80 and 18,783.20 is: 28,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.40 : 80,734.80 = 18,783.20 : x
  2. Step 2: Convert to fraction form
    53,842.40/80,734.80 = 18,783.20/x
  3. Step 3: Cross multiply
    53,842.40x = 80,734.80 × 18,783.20
  4. Step 4: Simplify right side
    53,842.40x = 1,516,457,895.36
  5. Step 5: Solve for x
    x = 1,516,457,895.36/53,842.40
  6. Step 6: Final answer
    x = 28,164.75

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1.5x scale

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.