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Finding the Fourth Proportional to 32,760, 45,208.80 and 17,856.96

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Solution

The fourth proportional to 32,760, 45,208.80 and 17,856.96 is: 24,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,760 : 45,208.80 = 17,856.96 : x
  2. Step 2: Convert to fraction form
    32,760/45,208.80 = 17,856.96/x
  3. Step 3: Cross multiply
    32,760x = 45,208.80 × 17,856.96
  4. Step 4: Simplify right side
    32,760x = 807,291,733.25
  5. Step 5: Solve for x
    x = 807,291,733.25/32,760
  6. Step 6: Final answer
    x = 24,642.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.