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Finding the Fourth Proportional to 53,536.34, 80,216.91 and 32,412.35

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Solution

The fourth proportional to 53,536.34, 80,216.91 and 32,412.35 is: 48,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536.34 : 80,216.91 = 32,412.35 : x
  2. Step 2: Convert to fraction form
    53,536.34/80,216.91 = 32,412.35/x
  3. Step 3: Cross multiply
    53,536.34x = 80,216.91 × 32,412.35
  4. Step 4: Simplify right side
    53,536.34x = 2,600,018,763.38
  5. Step 5: Solve for x
    x = 2,600,018,763.38/53,536.34
  6. Step 6: Final answer
    x = 48,565.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.