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Finding the Fourth Proportional to 56,184.64, 77,533.32 and 31,033.60

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Solution

The fourth proportional to 56,184.64, 77,533.32 and 31,033.60 is: 42,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,184.64 : 77,533.32 = 31,033.60 : x
  2. Step 2: Convert to fraction form
    56,184.64/77,533.32 = 31,033.60/x
  3. Step 3: Cross multiply
    56,184.64x = 77,533.32 × 31,033.60
  4. Step 4: Simplify right side
    56,184.64x = 2,406,138,039.55
  5. Step 5: Solve for x
    x = 2,406,138,039.55/56,184.64
  6. Step 6: Final answer
    x = 42,825.55

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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.