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Finding the Fourth Proportional to 64,714.32, 97,053.67 and 40,986.28

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Solution

The fourth proportional to 64,714.32, 97,053.67 and 40,986.28 is: 61,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,714.32 : 97,053.67 = 40,986.28 : x
  2. Step 2: Convert to fraction form
    64,714.32/97,053.67 = 40,986.28/x
  3. Step 3: Cross multiply
    64,714.32x = 97,053.67 × 40,986.28
  4. Step 4: Simplify right side
    64,714.32x = 3,977,868,677.96
  5. Step 5: Solve for x
    x = 3,977,868,677.96/64,714.32
  6. Step 6: Final answer
    x = 61,468.14

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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.