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Finding the Fourth Proportional to 31,051.84, 46,582.42 and 14,413.58

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Solution

The fourth proportional to 31,051.84, 46,582.42 and 14,413.58 is: 21,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.84 : 46,582.42 = 14,413.58 : x
  2. Step 2: Convert to fraction form
    31,051.84/46,582.42 = 14,413.58/x
  3. Step 3: Cross multiply
    31,051.84x = 46,582.42 × 14,413.58
  4. Step 4: Simplify right side
    31,051.84x = 671,419,437.26
  5. Step 5: Solve for x
    x = 671,419,437.26/31,051.84
  6. Step 6: Final answer
    x = 21,622.53

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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.