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Finding the Fourth Proportional to 76,471.17, 105,547.07 and 42,491.33

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Solution

The fourth proportional to 76,471.17, 105,547.07 and 42,491.33 is: 58,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.17 : 105,547.07 = 42,491.33 : x
  2. Step 2: Convert to fraction form
    76,471.17/105,547.07 = 42,491.33/x
  3. Step 3: Cross multiply
    76,471.17x = 105,547.07 × 42,491.33
  4. Step 4: Simplify right side
    76,471.17x = 4,484,835,381.90
  5. Step 5: Solve for x
    x = 4,484,835,381.90/76,471.17
  6. Step 6: Final answer
    x = 58,647.40

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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.