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Finding the Fourth Proportional to 76,237.88, 105,208.28 and 46,429.88

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Solution

The fourth proportional to 76,237.88, 105,208.28 and 46,429.88 is: 64,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,237.88 : 105,208.28 = 46,429.88 : x
  2. Step 2: Convert to fraction form
    76,237.88/105,208.28 = 46,429.88/x
  3. Step 3: Cross multiply
    76,237.88x = 105,208.28 × 46,429.88
  4. Step 4: Simplify right side
    76,237.88x = 4,884,807,815.41
  5. Step 5: Solve for x
    x = 4,884,807,815.41/76,237.88
  6. Step 6: Final answer
    x = 64,073.24

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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.