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Finding the Fourth Proportional to 32,507.39, 48,762.90 and 9,132

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Solution

The fourth proportional to 32,507.39, 48,762.90 and 9,132 is: 13,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.39 : 48,762.90 = 9,132 : x
  2. Step 2: Convert to fraction form
    32,507.39/48,762.90 = 9,132/x
  3. Step 3: Cross multiply
    32,507.39x = 48,762.90 × 9,132
  4. Step 4: Simplify right side
    32,507.39x = 445,302,802.80
  5. Step 5: Solve for x
    x = 445,302,802.80/32,507.39
  6. Step 6: Final answer
    x = 13,698.51

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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.