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Finding the Fourth Proportional to 105,445.59, 145,514.52 and 57,047.64

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Solution

The fourth proportional to 105,445.59, 145,514.52 and 57,047.64 is: 78,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,445.59 : 145,514.52 = 57,047.64 : x
  2. Step 2: Convert to fraction form
    105,445.59/145,514.52 = 57,047.64/x
  3. Step 3: Cross multiply
    105,445.59x = 145,514.52 × 57,047.64
  4. Step 4: Simplify right side
    105,445.59x = 8,301,259,904.55
  5. Step 5: Solve for x
    x = 8,301,259,904.55/105,445.59
  6. Step 6: Final answer
    x = 78,725.53

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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.