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Finding the Fourth Proportional to 39,602.25, 59,398.42 and 12,946.01

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Solution

The fourth proportional to 39,602.25, 59,398.42 and 12,946.01 is: 19,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,602.25 : 59,398.42 = 12,946.01 : x
  2. Step 2: Convert to fraction form
    39,602.25/59,398.42 = 12,946.01/x
  3. Step 3: Cross multiply
    39,602.25x = 59,398.42 × 12,946.01
  4. Step 4: Simplify right side
    39,602.25x = 768,972,539.30
  5. Step 5: Solve for x
    x = 768,972,539.30/39,602.25
  6. Step 6: Final answer
    x = 19,417.40

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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.