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Finding the Fourth Proportional to 32,562.31, 48,830.68 and 11,497.86

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Solution

The fourth proportional to 32,562.31, 48,830.68 and 11,497.86 is: 17,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.31 : 48,830.68 = 11,497.86 : x
  2. Step 2: Convert to fraction form
    32,562.31/48,830.68 = 11,497.86/x
  3. Step 3: Cross multiply
    32,562.31x = 48,830.68 × 11,497.86
  4. Step 4: Simplify right side
    32,562.31x = 561,448,322.34
  5. Step 5: Solve for x
    x = 561,448,322.34/32,562.31
  6. Step 6: Final answer
    x = 17,242.28

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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.