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Finding the Fourth Proportional to 94,903.60, 142,365.12 and 32,566

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Solution

The fourth proportional to 94,903.60, 142,365.12 and 32,566 is: 48,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,903.60 : 142,365.12 = 32,566 : x
  2. Step 2: Convert to fraction form
    94,903.60/142,365.12 = 32,566/x
  3. Step 3: Cross multiply
    94,903.60x = 142,365.12 × 32,566
  4. Step 4: Simplify right side
    94,903.60x = 4,636,262,497.92
  5. Step 5: Solve for x
    x = 4,636,262,497.92/94,903.60
  6. Step 6: Final answer
    x = 48,852.34

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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.