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Finding the Fourth Proportional to 55,334.98, 76,357.14 and 31,457

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Solution

The fourth proportional to 55,334.98, 76,357.14 and 31,457 is: 43,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,334.98 : 76,357.14 = 31,457 : x
  2. Step 2: Convert to fraction form
    55,334.98/76,357.14 = 31,457/x
  3. Step 3: Cross multiply
    55,334.98x = 76,357.14 × 31,457
  4. Step 4: Simplify right side
    55,334.98x = 2,401,966,552.98
  5. Step 5: Solve for x
    x = 2,401,966,552.98/55,334.98
  6. Step 6: Final answer
    x = 43,407.74

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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.