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Finding the Fourth Proportional to 32,522.68, 48,774.40 and 13,802.48

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Solution

The fourth proportional to 32,522.68, 48,774.40 and 13,802.48 is: 20,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.68 : 48,774.40 = 13,802.48 : x
  2. Step 2: Convert to fraction form
    32,522.68/48,774.40 = 13,802.48/x
  3. Step 3: Cross multiply
    32,522.68x = 48,774.40 × 13,802.48
  4. Step 4: Simplify right side
    32,522.68x = 673,207,680.51
  5. Step 5: Solve for x
    x = 673,207,680.51/32,522.68
  6. Step 6: Final answer
    x = 20,699.64

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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.