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Finding the Fourth Proportional to 105,585.39, 145,707.87 and 57,840.45

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Solution

The fourth proportional to 105,585.39, 145,707.87 and 57,840.45 is: 79,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,585.39 : 145,707.87 = 57,840.45 : x
  2. Step 2: Convert to fraction form
    105,585.39/145,707.87 = 57,840.45/x
  3. Step 3: Cross multiply
    105,585.39x = 145,707.87 × 57,840.45
  4. Step 4: Simplify right side
    105,585.39x = 8,427,808,769.34
  5. Step 5: Solve for x
    x = 8,427,808,769.34/105,585.39
  6. Step 6: Final answer
    x = 79,819.84

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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.