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Finding the Fourth Proportional to 35,814.54, 49,423.70 and 19,898.64

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Solution

The fourth proportional to 35,814.54, 49,423.70 and 19,898.64 is: 27,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.54 : 49,423.70 = 19,898.64 : x
  2. Step 2: Convert to fraction form
    35,814.54/49,423.70 = 19,898.64/x
  3. Step 3: Cross multiply
    35,814.54x = 49,423.70 × 19,898.64
  4. Step 4: Simplify right side
    35,814.54x = 983,464,413.77
  5. Step 5: Solve for x
    x = 983,464,413.77/35,814.54
  6. Step 6: Final answer
    x = 27,459.92

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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.