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Finding the Fourth Proportional to 64,697.58, 97,045.29 and 29,139.12

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Solution

The fourth proportional to 64,697.58, 97,045.29 and 29,139.12 is: 43,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,697.58 : 97,045.29 = 29,139.12 : x
  2. Step 2: Convert to fraction form
    64,697.58/97,045.29 = 29,139.12/x
  3. Step 3: Cross multiply
    64,697.58x = 97,045.29 × 29,139.12
  4. Step 4: Simplify right side
    64,697.58x = 2,827,814,350.74
  5. Step 5: Solve for x
    x = 2,827,814,350.74/64,697.58
  6. Step 6: Final answer
    x = 43,708.19

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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.