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Finding the Fourth Proportional to 47,866.49, 71,810.09 and 14,585.68

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Solution

The fourth proportional to 47,866.49, 71,810.09 and 14,585.68 is: 21,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,866.49 : 71,810.09 = 14,585.68 : x
  2. Step 2: Convert to fraction form
    47,866.49/71,810.09 = 14,585.68/x
  3. Step 3: Cross multiply
    47,866.49x = 71,810.09 × 14,585.68
  4. Step 4: Simplify right side
    47,866.49x = 1,047,398,993.51
  5. Step 5: Solve for x
    x = 1,047,398,993.51/47,866.49
  6. Step 6: Final answer
    x = 21,881.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.