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Finding the Fourth Proportional to 39,646.98, 54,769.77 and 31,678.74

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Solution

The fourth proportional to 39,646.98, 54,769.77 and 31,678.74 is: 43,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.98 : 54,769.77 = 31,678.74 : x
  2. Step 2: Convert to fraction form
    39,646.98/54,769.77 = 31,678.74/x
  3. Step 3: Cross multiply
    39,646.98x = 54,769.77 × 31,678.74
  4. Step 4: Simplify right side
    39,646.98x = 1,735,037,303.69
  5. Step 5: Solve for x
    x = 1,735,037,303.69/39,646.98
  6. Step 6: Final answer
    x = 43,762.16

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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.