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Finding the Fourth Proportional to 76,337.94, 105,348.05 and 42,345.33

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Solution

The fourth proportional to 76,337.94, 105,348.05 and 42,345.33 is: 58,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,337.94 : 105,348.05 = 42,345.33 : x
  2. Step 2: Convert to fraction form
    76,337.94/105,348.05 = 42,345.33/x
  3. Step 3: Cross multiply
    76,337.94x = 105,348.05 × 42,345.33
  4. Step 4: Simplify right side
    76,337.94x = 4,460,997,730.38
  5. Step 5: Solve for x
    x = 4,460,997,730.38/76,337.94
  6. Step 6: Final answer
    x = 58,437.49

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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.