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Finding the Fourth Proportional to 56,480.76, 77,946 and 31,330.28

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Solution

The fourth proportional to 56,480.76, 77,946 and 31,330.28 is: 43,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,480.76 : 77,946 = 31,330.28 : x
  2. Step 2: Convert to fraction form
    56,480.76/77,946 = 31,330.28/x
  3. Step 3: Cross multiply
    56,480.76x = 77,946 × 31,330.28
  4. Step 4: Simplify right side
    56,480.76x = 2,442,070,004.88
  5. Step 5: Solve for x
    x = 2,442,070,004.88/56,480.76
  6. Step 6: Final answer
    x = 43,237.20

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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.