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Finding the Fourth Proportional to 76,471.33, 105,547.31 and 42,491.50

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Solution

The fourth proportional to 76,471.33, 105,547.31 and 42,491.50 is: 58,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.33 : 105,547.31 = 42,491.50 : x
  2. Step 2: Convert to fraction form
    76,471.33/105,547.31 = 42,491.50/x
  3. Step 3: Cross multiply
    76,471.33x = 105,547.31 × 42,491.50
  4. Step 4: Simplify right side
    76,471.33x = 4,484,863,444.90
  5. Step 5: Solve for x
    x = 4,484,863,444.90/76,471.33
  6. Step 6: Final answer
    x = 58,647.65

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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.