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Finding the Fourth Proportional to 55,777.52, 76,973.24 and 30,627

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Solution

The fourth proportional to 55,777.52, 76,973.24 and 30,627 is: 42,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,777.52 : 76,973.24 = 30,627 : x
  2. Step 2: Convert to fraction form
    55,777.52/76,973.24 = 30,627/x
  3. Step 3: Cross multiply
    55,777.52x = 76,973.24 × 30,627
  4. Step 4: Simplify right side
    55,777.52x = 2,357,459,421.48
  5. Step 5: Solve for x
    x = 2,357,459,421.48/55,777.52
  6. Step 6: Final answer
    x = 42,265.40

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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.