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Finding the Fourth Proportional to 76,237.38, 105,207.59 and 46,429.38

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Solution

The fourth proportional to 76,237.38, 105,207.59 and 46,429.38 is: 64,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,237.38 : 105,207.59 = 46,429.38 : x
  2. Step 2: Convert to fraction form
    76,237.38/105,207.59 = 46,429.38/x
  3. Step 3: Cross multiply
    76,237.38x = 105,207.59 × 46,429.38
  4. Step 4: Simplify right side
    76,237.38x = 4,884,722,416.81
  5. Step 5: Solve for x
    x = 4,884,722,416.81/76,237.38
  6. Step 6: Final answer
    x = 64,072.54

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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.