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Finding the Fourth Proportional to 46,413.84, 64,051.24 and 25,193.12

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Solution

The fourth proportional to 46,413.84, 64,051.24 and 25,193.12 is: 34,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413.84 : 64,051.24 = 25,193.12 : x
  2. Step 2: Convert to fraction form
    46,413.84/64,051.24 = 25,193.12/x
  3. Step 3: Cross multiply
    46,413.84x = 64,051.24 × 25,193.12
  4. Step 4: Simplify right side
    46,413.84x = 1,613,650,575.47
  5. Step 5: Solve for x
    x = 1,613,650,575.47/46,413.84
  6. Step 6: Final answer
    x = 34,766.58

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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.