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Finding the Fourth Proportional to 68,599.86, 102,829.63 and 46,415.58

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Solution

The fourth proportional to 68,599.86, 102,829.63 and 46,415.58 is: 69,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,599.86 : 102,829.63 = 46,415.58 : x
  2. Step 2: Convert to fraction form
    68,599.86/102,829.63 = 46,415.58/x
  3. Step 3: Cross multiply
    68,599.86x = 102,829.63 × 46,415.58
  4. Step 4: Simplify right side
    68,599.86x = 4,772,896,917.64
  5. Step 5: Solve for x
    x = 4,772,896,917.64/68,599.86
  6. Step 6: Final answer
    x = 69,575.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.