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Finding the Fourth Proportional to 54,750.76, 75,567.80 and 34,594.84

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Solution

The fourth proportional to 54,750.76, 75,567.80 and 34,594.84 is: 47,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,750.76 : 75,567.80 = 34,594.84 : x
  2. Step 2: Convert to fraction form
    54,750.76/75,567.80 = 34,594.84/x
  3. Step 3: Cross multiply
    54,750.76x = 75,567.80 × 34,594.84
  4. Step 4: Simplify right side
    54,750.76x = 2,614,255,950.15
  5. Step 5: Solve for x
    x = 2,614,255,950.15/54,750.76
  6. Step 6: Final answer
    x = 47,748.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.