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Finding the Fourth Proportional to 76,471.36, 105,547.34 and 42,491.52

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Solution

The fourth proportional to 76,471.36, 105,547.34 and 42,491.52 is: 58,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.36 : 105,547.34 = 42,491.52 : x
  2. Step 2: Convert to fraction form
    76,471.36/105,547.34 = 42,491.52/x
  3. Step 3: Cross multiply
    76,471.36x = 105,547.34 × 42,491.52
  4. Step 4: Simplify right side
    76,471.36x = 4,484,866,908.56
  5. Step 5: Solve for x
    x = 4,484,866,908.56/76,471.36
  6. Step 6: Final answer
    x = 58,647.67

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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.