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Finding the Fourth Proportional to 56,228.36, 77,598.42 and 31,080.20

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Solution

The fourth proportional to 56,228.36, 77,598.42 and 31,080.20 is: 42,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,228.36 : 77,598.42 = 31,080.20 : x
  2. Step 2: Convert to fraction form
    56,228.36/77,598.42 = 31,080.20/x
  3. Step 3: Cross multiply
    56,228.36x = 77,598.42 × 31,080.20
  4. Step 4: Simplify right side
    56,228.36x = 2,411,774,413.28
  5. Step 5: Solve for x
    x = 2,411,774,413.28/56,228.36
  6. Step 6: Final answer
    x = 42,892.49

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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.