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Finding the Fourth Proportional to 76,322.38, 105,324.82 and 42,788.38

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Solution

The fourth proportional to 76,322.38, 105,324.82 and 42,788.38 is: 59,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322.38 : 105,324.82 = 42,788.38 : x
  2. Step 2: Convert to fraction form
    76,322.38/105,324.82 = 42,788.38/x
  3. Step 3: Cross multiply
    76,322.38x = 105,324.82 × 42,788.38
  4. Step 4: Simplify right side
    76,322.38x = 4,506,678,421.59
  5. Step 5: Solve for x
    x = 4,506,678,421.59/76,322.38
  6. Step 6: Final answer
    x = 59,047.93

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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.