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Finding the Fourth Proportional to 32,545.48, 48,818.22 and 11,764.12

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Solution

The fourth proportional to 32,545.48, 48,818.22 and 11,764.12 is: 17,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.48 : 48,818.22 = 11,764.12 : x
  2. Step 2: Convert to fraction form
    32,545.48/48,818.22 = 11,764.12/x
  3. Step 3: Cross multiply
    32,545.48x = 48,818.22 × 11,764.12
  4. Step 4: Simplify right side
    32,545.48x = 574,303,095.35
  5. Step 5: Solve for x
    x = 574,303,095.35/32,545.48
  6. Step 6: Final answer
    x = 17,646.17

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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.