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Finding the Fourth Proportional to 76,518, 105,594.84 and 42,984

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Solution

The fourth proportional to 76,518, 105,594.84 and 42,984 is: 59,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,518 : 105,594.84 = 42,984 : x
  2. Step 2: Convert to fraction form
    76,518/105,594.84 = 42,984/x
  3. Step 3: Cross multiply
    76,518x = 105,594.84 × 42,984
  4. Step 4: Simplify right side
    76,518x = 4,538,888,602.56
  5. Step 5: Solve for x
    x = 4,538,888,602.56/76,518
  6. Step 6: Final answer
    x = 59,317.92

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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.