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Finding the Fourth Proportional to 76,830.74, 106,018.65 and 42,836.03

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Solution

The fourth proportional to 76,830.74, 106,018.65 and 42,836.03 is: 59,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830.74 : 106,018.65 = 42,836.03 : x
  2. Step 2: Convert to fraction form
    76,830.74/106,018.65 = 42,836.03/x
  3. Step 3: Cross multiply
    76,830.74x = 106,018.65 × 42,836.03
  4. Step 4: Simplify right side
    76,830.74x = 4,541,417,541.87
  5. Step 5: Solve for x
    x = 4,541,417,541.87/76,830.74
  6. Step 6: Final answer
    x = 59,109.39

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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.