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Finding the Fourth Proportional to 31,802.53, 47,705.49 and 9,615.34

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Solution

The fourth proportional to 31,802.53, 47,705.49 and 9,615.34 is: 14,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.53 : 47,705.49 = 9,615.34 : x
  2. Step 2: Convert to fraction form
    31,802.53/47,705.49 = 9,615.34/x
  3. Step 3: Cross multiply
    31,802.53x = 47,705.49 × 9,615.34
  4. Step 4: Simplify right side
    31,802.53x = 458,704,506.22
  5. Step 5: Solve for x
    x = 458,704,506.22/31,802.53
  6. Step 6: Final answer
    x = 14,423.52

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1.5x scale

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.