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Finding the Fourth Proportional to 76,486.49, 105,566.46 and 48,873.50

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Solution

The fourth proportional to 76,486.49, 105,566.46 and 48,873.50 is: 67,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.49 : 105,566.46 = 48,873.50 : x
  2. Step 2: Convert to fraction form
    76,486.49/105,566.46 = 48,873.50/x
  3. Step 3: Cross multiply
    76,486.49x = 105,566.46 × 48,873.50
  4. Step 4: Simplify right side
    76,486.49x = 5,159,401,854.98
  5. Step 5: Solve for x
    x = 5,159,401,854.98/76,486.49
  6. Step 6: Final answer
    x = 67,455.08

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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.