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Finding the Fourth Proportional to 32,510.52, 48,765.80 and 7,886.52

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Solution

The fourth proportional to 32,510.52, 48,765.80 and 7,886.52 is: 11,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.52 : 48,765.80 = 7,886.52 : x
  2. Step 2: Convert to fraction form
    32,510.52/48,765.80 = 7,886.52/x
  3. Step 3: Cross multiply
    32,510.52x = 48,765.80 × 7,886.52
  4. Step 4: Simplify right side
    32,510.52x = 384,592,457.02
  5. Step 5: Solve for x
    x = 384,592,457.02/32,510.52
  6. Step 6: Final answer
    x = 11,829.78

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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.