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Finding the Fourth Proportional to 76,491.84, 105,569.28 and 42,960

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Solution

The fourth proportional to 76,491.84, 105,569.28 and 42,960 is: 59,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.84 : 105,569.28 = 42,960 : x
  2. Step 2: Convert to fraction form
    76,491.84/105,569.28 = 42,960/x
  3. Step 3: Cross multiply
    76,491.84x = 105,569.28 × 42,960
  4. Step 4: Simplify right side
    76,491.84x = 4,535,256,268.80
  5. Step 5: Solve for x
    x = 4,535,256,268.80/76,491.84
  6. Step 6: Final answer
    x = 59,290.72

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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.