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Finding the Fourth Proportional to 35,802.67, 49,408.47 and 19,670.19

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Solution

The fourth proportional to 35,802.67, 49,408.47 and 19,670.19 is: 27,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.67 : 49,408.47 = 19,670.19 : x
  2. Step 2: Convert to fraction form
    35,802.67/49,408.47 = 19,670.19/x
  3. Step 3: Cross multiply
    35,802.67x = 49,408.47 × 19,670.19
  4. Step 4: Simplify right side
    35,802.67x = 971,873,992.51
  5. Step 5: Solve for x
    x = 971,873,992.51/35,802.67
  6. Step 6: Final answer
    x = 27,145.29

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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.