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Finding the Fourth Proportional to 57,483.22, 86,274.03 and 32,547.77

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Solution

The fourth proportional to 57,483.22, 86,274.03 and 32,547.77 is: 48,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,483.22 : 86,274.03 = 32,547.77 : x
  2. Step 2: Convert to fraction form
    57,483.22/86,274.03 = 32,547.77/x
  3. Step 3: Cross multiply
    57,483.22x = 86,274.03 × 32,547.77
  4. Step 4: Simplify right side
    57,483.22x = 2,808,027,285.41
  5. Step 5: Solve for x
    x = 2,808,027,285.41/57,483.22
  6. Step 6: Final answer
    x = 48,849.51

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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.