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Finding the Fourth Proportional to 32,035.32, 48,061.75 and 15,409.26

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Solution

The fourth proportional to 32,035.32, 48,061.75 and 15,409.26 is: 23,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.32 : 48,061.75 = 15,409.26 : x
  2. Step 2: Convert to fraction form
    32,035.32/48,061.75 = 15,409.26/x
  3. Step 3: Cross multiply
    32,035.32x = 48,061.75 × 15,409.26
  4. Step 4: Simplify right side
    32,035.32x = 740,596,001.81
  5. Step 5: Solve for x
    x = 740,596,001.81/32,035.32
  6. Step 6: Final answer
    x = 23,118.11

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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.