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Finding the Fourth Proportional to 32,470.55, 48,706.31 and 9,095.51

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Solution

The fourth proportional to 32,470.55, 48,706.31 and 9,095.51 is: 13,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.55 : 48,706.31 = 9,095.51 : x
  2. Step 2: Convert to fraction form
    32,470.55/48,706.31 = 9,095.51/x
  3. Step 3: Cross multiply
    32,470.55x = 48,706.31 × 9,095.51
  4. Step 4: Simplify right side
    32,470.55x = 443,008,729.67
  5. Step 5: Solve for x
    x = 443,008,729.67/32,470.55
  6. Step 6: Final answer
    x = 13,643.40

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Why These Related Problems?

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