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Finding the Fourth Proportional to 32,457.84, 48,609 and 28,958.64

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Solution

The fourth proportional to 32,457.84, 48,609 and 28,958.64 is: 43,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.84 : 48,609 = 28,958.64 : x
  2. Step 2: Convert to fraction form
    32,457.84/48,609 = 28,958.64/x
  3. Step 3: Cross multiply
    32,457.84x = 48,609 × 28,958.64
  4. Step 4: Simplify right side
    32,457.84x = 1,407,650,531.76
  5. Step 5: Solve for x
    x = 1,407,650,531.76/32,457.84
  6. Step 6: Final answer
    x = 43,368.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.