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Finding the Fourth Proportional to 75,567.66, 113,355.54 and 22,973.16

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Solution

The fourth proportional to 75,567.66, 113,355.54 and 22,973.16 is: 34,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,567.66 : 113,355.54 = 22,973.16 : x
  2. Step 2: Convert to fraction form
    75,567.66/113,355.54 = 22,973.16/x
  3. Step 3: Cross multiply
    75,567.66x = 113,355.54 × 22,973.16
  4. Step 4: Simplify right side
    75,567.66x = 2,604,134,957.31
  5. Step 5: Solve for x
    x = 2,604,134,957.31/75,567.66
  6. Step 6: Final answer
    x = 34,460.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.