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Finding the Fourth Proportional to 76,491, 105,567.48 and 42,957

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Solution

The fourth proportional to 76,491, 105,567.48 and 42,957 is: 59,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491 : 105,567.48 = 42,957 : x
  2. Step 2: Convert to fraction form
    76,491/105,567.48 = 42,957/x
  3. Step 3: Cross multiply
    76,491x = 105,567.48 × 42,957
  4. Step 4: Simplify right side
    76,491x = 4,534,862,238.36
  5. Step 5: Solve for x
    x = 4,534,862,238.36/76,491
  6. Step 6: Final answer
    x = 59,286.22

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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.