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Finding the Fourth Proportional to 76,477.95, 105,538.11 and 42,486.09

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Solution

The fourth proportional to 76,477.95, 105,538.11 and 42,486.09 is: 58,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.95 : 105,538.11 = 42,486.09 : x
  2. Step 2: Convert to fraction form
    76,477.95/105,538.11 = 42,486.09/x
  3. Step 3: Cross multiply
    76,477.95x = 105,538.11 × 42,486.09
  4. Step 4: Simplify right side
    76,477.95x = 4,483,901,639.89
  5. Step 5: Solve for x
    x = 4,483,901,639.89/76,477.95
  6. Step 6: Final answer
    x = 58,629.99

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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.