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Finding the Fourth Proportional to 76,539.94, 105,625.05 and 42,547.36

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Solution

The fourth proportional to 76,539.94, 105,625.05 and 42,547.36 is: 58,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539.94 : 105,625.05 = 42,547.36 : x
  2. Step 2: Convert to fraction form
    76,539.94/105,625.05 = 42,547.36/x
  3. Step 3: Cross multiply
    76,539.94x = 105,625.05 × 42,547.36
  4. Step 4: Simplify right side
    76,539.94x = 4,494,067,027.37
  5. Step 5: Solve for x
    x = 4,494,067,027.37/76,539.94
  6. Step 6: Final answer
    x = 58,715.32

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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.