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Finding the Fourth Proportional to 32,573.12, 48,866.16 and 10,385.78

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Solution

The fourth proportional to 32,573.12, 48,866.16 and 10,385.78 is: 15,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,573.12 : 48,866.16 = 10,385.78 : x
  2. Step 2: Convert to fraction form
    32,573.12/48,866.16 = 10,385.78/x
  3. Step 3: Cross multiply
    32,573.12x = 48,866.16 × 10,385.78
  4. Step 4: Simplify right side
    32,573.12x = 507,513,187.20
  5. Step 5: Solve for x
    x = 507,513,187.20/32,573.12
  6. Step 6: Final answer
    x = 15,580.74

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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.