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Finding the Fourth Proportional to 76,695.34, 105,823.23 and 44,858.02

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Solution

The fourth proportional to 76,695.34, 105,823.23 and 44,858.02 is: 61,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695.34 : 105,823.23 = 44,858.02 : x
  2. Step 2: Convert to fraction form
    76,695.34/105,823.23 = 44,858.02/x
  3. Step 3: Cross multiply
    76,695.34x = 105,823.23 × 44,858.02
  4. Step 4: Simplify right side
    76,695.34x = 4,747,020,567.80
  5. Step 5: Solve for x
    x = 4,747,020,567.80/76,695.34
  6. Step 6: Final answer
    x = 61,894.51

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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.