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Finding the Fourth Proportional to 55,457.91, 76,587.84 and 35,323.84

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Solution

The fourth proportional to 55,457.91, 76,587.84 and 35,323.84 is: 48,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,457.91 : 76,587.84 = 35,323.84 : x
  2. Step 2: Convert to fraction form
    55,457.91/76,587.84 = 35,323.84/x
  3. Step 3: Cross multiply
    55,457.91x = 76,587.84 × 35,323.84
  4. Step 4: Simplify right side
    55,457.91x = 2,705,376,606.11
  5. Step 5: Solve for x
    x = 2,705,376,606.11/55,457.91
  6. Step 6: Final answer
    x = 48,782.52

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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.