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Finding the Fourth Proportional to 76,582.95, 105,688.58 and 44,770.47

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Solution

The fourth proportional to 76,582.95, 105,688.58 and 44,770.47 is: 61,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582.95 : 105,688.58 = 44,770.47 : x
  2. Step 2: Convert to fraction form
    76,582.95/105,688.58 = 44,770.47/x
  3. Step 3: Cross multiply
    76,582.95x = 105,688.58 × 44,770.47
  4. Step 4: Simplify right side
    76,582.95x = 4,731,727,176.38
  5. Step 5: Solve for x
    x = 4,731,727,176.38/76,582.95
  6. Step 6: Final answer
    x = 61,785.65

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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.