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Finding the Fourth Proportional to 32,848.56, 45,314.78 and 19,413.32

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Solution

The fourth proportional to 32,848.56, 45,314.78 and 19,413.32 is: 26,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,848.56 : 45,314.78 = 19,413.32 : x
  2. Step 2: Convert to fraction form
    32,848.56/45,314.78 = 19,413.32/x
  3. Step 3: Cross multiply
    32,848.56x = 45,314.78 × 19,413.32
  4. Step 4: Simplify right side
    32,848.56x = 879,710,001.23
  5. Step 5: Solve for x
    x = 879,710,001.23/32,848.56
  6. Step 6: Final answer
    x = 26,780.78

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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.