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Finding the Fourth Proportional to 32,546.88, 48,802.08 and 10,356.16

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Solution

The fourth proportional to 32,546.88, 48,802.08 and 10,356.16 is: 15,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.88 : 48,802.08 = 10,356.16 : x
  2. Step 2: Convert to fraction form
    32,546.88/48,802.08 = 10,356.16/x
  3. Step 3: Cross multiply
    32,546.88x = 48,802.08 × 10,356.16
  4. Step 4: Simplify right side
    32,546.88x = 505,402,148.81
  5. Step 5: Solve for x
    x = 505,402,148.81/32,546.88
  6. Step 6: Final answer
    x = 15,528.44

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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.