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Finding the Fourth Proportional to 32,596.17, 48,893.73 and 10,409.40

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Solution

The fourth proportional to 32,596.17, 48,893.73 and 10,409.40 is: 15,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.17 : 48,893.73 = 10,409.40 : x
  2. Step 2: Convert to fraction form
    32,596.17/48,893.73 = 10,409.40/x
  3. Step 3: Cross multiply
    32,596.17x = 48,893.73 × 10,409.40
  4. Step 4: Simplify right side
    32,596.17x = 508,954,393.06
  5. Step 5: Solve for x
    x = 508,954,393.06/32,596.17
  6. Step 6: Final answer
    x = 15,613.93

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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.