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Finding the Fourth Proportional to 105,419.72, 145,477.98 and 57,672.47

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Solution

The fourth proportional to 105,419.72, 145,477.98 and 57,672.47 is: 79,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419.72 : 145,477.98 = 57,672.47 : x
  2. Step 2: Convert to fraction form
    105,419.72/145,477.98 = 57,672.47/x
  3. Step 3: Cross multiply
    105,419.72x = 145,477.98 × 57,672.47
  4. Step 4: Simplify right side
    105,419.72x = 8,390,073,709.82
  5. Step 5: Solve for x
    x = 8,390,073,709.82/105,419.72
  6. Step 6: Final answer
    x = 79,587.33

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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.