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Finding the Fourth Proportional to 76,815.38, 106,005.66 and 42,826.01

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Solution

The fourth proportional to 76,815.38, 106,005.66 and 42,826.01 is: 59,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815.38 : 106,005.66 = 42,826.01 : x
  2. Step 2: Convert to fraction form
    76,815.38/106,005.66 = 42,826.01/x
  3. Step 3: Cross multiply
    76,815.38x = 106,005.66 × 42,826.01
  4. Step 4: Simplify right side
    76,815.38x = 4,539,798,925.19
  5. Step 5: Solve for x
    x = 4,539,798,925.19/76,815.38
  6. Step 6: Final answer
    x = 59,100.13

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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.