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Finding the Fourth Proportional to 37,657.41, 56,417.27 and 17,630.16

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Solution

The fourth proportional to 37,657.41, 56,417.27 and 17,630.16 is: 26,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.41 : 56,417.27 = 17,630.16 : x
  2. Step 2: Convert to fraction form
    37,657.41/56,417.27 = 17,630.16/x
  3. Step 3: Cross multiply
    37,657.41x = 56,417.27 × 17,630.16
  4. Step 4: Simplify right side
    37,657.41x = 994,645,408.71
  5. Step 5: Solve for x
    x = 994,645,408.71/37,657.41
  6. Step 6: Final answer
    x = 26,413.01

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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.