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Finding the Fourth Proportional to 32,460.90, 48,693.15 and 9,089.16

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Solution

The fourth proportional to 32,460.90, 48,693.15 and 9,089.16 is: 13,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.90 : 48,693.15 = 9,089.16 : x
  2. Step 2: Convert to fraction form
    32,460.90/48,693.15 = 9,089.16/x
  3. Step 3: Cross multiply
    32,460.90x = 48,693.15 × 9,089.16
  4. Step 4: Simplify right side
    32,460.90x = 442,579,831.25
  5. Step 5: Solve for x
    x = 442,579,831.25/32,460.90
  6. Step 6: Final answer
    x = 13,634.24

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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.