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Finding the Fourth Proportional to 35,728.53, 49,307.85 and 19,814.46

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Solution

The fourth proportional to 35,728.53, 49,307.85 and 19,814.46 is: 27,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.53 : 49,307.85 = 19,814.46 : x
  2. Step 2: Convert to fraction form
    35,728.53/49,307.85 = 19,814.46/x
  3. Step 3: Cross multiply
    35,728.53x = 49,307.85 × 19,814.46
  4. Step 4: Simplify right side
    35,728.53x = 977,008,421.51
  5. Step 5: Solve for x
    x = 977,008,421.51/35,728.53
  6. Step 6: Final answer
    x = 27,345.33

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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.