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Finding the Fourth Proportional to 32,185.16, 48,277.77 and 18,305

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Solution

The fourth proportional to 32,185.16, 48,277.77 and 18,305 is: 27,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.16 : 48,277.77 = 18,305 : x
  2. Step 2: Convert to fraction form
    32,185.16/48,277.77 = 18,305/x
  3. Step 3: Cross multiply
    32,185.16x = 48,277.77 × 18,305
  4. Step 4: Simplify right side
    32,185.16x = 883,724,579.85
  5. Step 5: Solve for x
    x = 883,724,579.85/32,185.16
  6. Step 6: Final answer
    x = 27,457.52

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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.