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Finding the Fourth Proportional to 42,802.14, 64,203.03 and 11,637.30

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Solution

The fourth proportional to 42,802.14, 64,203.03 and 11,637.30 is: 17,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.14 : 64,203.03 = 11,637.30 : x
  2. Step 2: Convert to fraction form
    42,802.14/64,203.03 = 11,637.30/x
  3. Step 3: Cross multiply
    42,802.14x = 64,203.03 × 11,637.30
  4. Step 4: Simplify right side
    42,802.14x = 747,149,921.02
  5. Step 5: Solve for x
    x = 747,149,921.02/42,802.14
  6. Step 6: Final answer
    x = 17,455.90

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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.