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Finding the Fourth Proportional to 53,445.96, 73,749.42 and 30,784.86

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Solution

The fourth proportional to 53,445.96, 73,749.42 and 30,784.86 is: 42,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,445.96 : 73,749.42 = 30,784.86 : x
  2. Step 2: Convert to fraction form
    53,445.96/73,749.42 = 30,784.86/x
  3. Step 3: Cross multiply
    53,445.96x = 73,749.42 × 30,784.86
  4. Step 4: Simplify right side
    53,445.96x = 2,270,365,569.78
  5. Step 5: Solve for x
    x = 2,270,365,569.78/53,445.96
  6. Step 6: Final answer
    x = 42,479.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.