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Finding the Fourth Proportional to 76,703.59, 105,825.58 and 44,849.94

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Solution

The fourth proportional to 76,703.59, 105,825.58 and 44,849.94 is: 61,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,703.59 : 105,825.58 = 44,849.94 : x
  2. Step 2: Convert to fraction form
    76,703.59/105,825.58 = 44,849.94/x
  3. Step 3: Cross multiply
    76,703.59x = 105,825.58 × 44,849.94
  4. Step 4: Simplify right side
    76,703.59x = 4,746,270,913.47
  5. Step 5: Solve for x
    x = 4,746,270,913.47/76,703.59
  6. Step 6: Final answer
    x = 61,878.08

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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.