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Finding the Fourth Proportional to 39,651.48, 59,461.80 and 19,916.22

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Solution

The fourth proportional to 39,651.48, 59,461.80 and 19,916.22 is: 29,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,651.48 : 59,461.80 = 19,916.22 : x
  2. Step 2: Convert to fraction form
    39,651.48/59,461.80 = 19,916.22/x
  3. Step 3: Cross multiply
    39,651.48x = 59,461.80 × 19,916.22
  4. Step 4: Simplify right side
    39,651.48x = 1,184,254,290.40
  5. Step 5: Solve for x
    x = 1,184,254,290.40/39,651.48
  6. Step 6: Final answer
    x = 29,866.58

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Why These Related Problems?

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