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Finding the Fourth Proportional to 76,775.34, 105,948.24 and 42,783.66

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Solution

The fourth proportional to 76,775.34, 105,948.24 and 42,783.66 is: 59,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,775.34 : 105,948.24 = 42,783.66 : x
  2. Step 2: Convert to fraction form
    76,775.34/105,948.24 = 42,783.66/x
  3. Step 3: Cross multiply
    76,775.34x = 105,948.24 × 42,783.66
  4. Step 4: Simplify right side
    76,775.34x = 4,532,853,477.76
  5. Step 5: Solve for x
    x = 4,532,853,477.76/76,775.34
  6. Step 6: Final answer
    x = 59,040.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.