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Finding the Fourth Proportional to 86,638, 129,723.36 and 56,577.76

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Solution

The fourth proportional to 86,638, 129,723.36 and 56,577.76 is: 84,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,638 : 129,723.36 = 56,577.76 : x
  2. Step 2: Convert to fraction form
    86,638/129,723.36 = 56,577.76/x
  3. Step 3: Cross multiply
    86,638x = 129,723.36 × 56,577.76
  4. Step 4: Simplify right side
    86,638x = 7,339,457,128.47
  5. Step 5: Solve for x
    x = 7,339,457,128.47/86,638
  6. Step 6: Final answer
    x = 84,714.06

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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.