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Finding the Fourth Proportional to 56,413.30, 77,847.64 and 32,547.66

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Solution

The fourth proportional to 56,413.30, 77,847.64 and 32,547.66 is: 44,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,413.30 : 77,847.64 = 32,547.66 : x
  2. Step 2: Convert to fraction form
    56,413.30/77,847.64 = 32,547.66/x
  3. Step 3: Cross multiply
    56,413.30x = 77,847.64 × 32,547.66
  4. Step 4: Simplify right side
    56,413.30x = 2,533,758,518.52
  5. Step 5: Solve for x
    x = 2,533,758,518.52/56,413.30
  6. Step 6: Final answer
    x = 44,914.20

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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.