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Finding the Fourth Proportional to 56,148.66, 77,485.20 and 30,998.16

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Solution

The fourth proportional to 56,148.66, 77,485.20 and 30,998.16 is: 42,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,148.66 : 77,485.20 = 30,998.16 : x
  2. Step 2: Convert to fraction form
    56,148.66/77,485.20 = 30,998.16/x
  3. Step 3: Cross multiply
    56,148.66x = 77,485.20 × 30,998.16
  4. Step 4: Simplify right side
    56,148.66x = 2,401,898,627.23
  5. Step 5: Solve for x
    x = 2,401,898,627.23/56,148.66
  6. Step 6: Final answer
    x = 42,777.49

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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.