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Finding the Fourth Proportional to 55,063.91, 75,981.74 and 32,397.91

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Solution

The fourth proportional to 55,063.91, 75,981.74 and 32,397.91 is: 44,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,063.91 : 75,981.74 = 32,397.91 : x
  2. Step 2: Convert to fraction form
    55,063.91/75,981.74 = 32,397.91/x
  3. Step 3: Cross multiply
    55,063.91x = 75,981.74 × 32,397.91
  4. Step 4: Simplify right side
    55,063.91x = 2,461,649,574.16
  5. Step 5: Solve for x
    x = 2,461,649,574.16/55,063.91
  6. Step 6: Final answer
    x = 44,705.32

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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.