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Finding the Fourth Proportional to 76,448.94, 105,503.04 and 42,457.58

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Solution

The fourth proportional to 76,448.94, 105,503.04 and 42,457.58 is: 58,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448.94 : 105,503.04 = 42,457.58 : x
  2. Step 2: Convert to fraction form
    76,448.94/105,503.04 = 42,457.58/x
  3. Step 3: Cross multiply
    76,448.94x = 105,503.04 × 42,457.58
  4. Step 4: Simplify right side
    76,448.94x = 4,479,403,761.04
  5. Step 5: Solve for x
    x = 4,479,403,761.04/76,448.94
  6. Step 6: Final answer
    x = 58,593.41

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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.