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Finding the Fourth Proportional to 64,790.40, 97,152 and 29,699.84

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Solution

The fourth proportional to 64,790.40, 97,152 and 29,699.84 is: 44,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,790.40 : 97,152 = 29,699.84 : x
  2. Step 2: Convert to fraction form
    64,790.40/97,152 = 29,699.84/x
  3. Step 3: Cross multiply
    64,790.40x = 97,152 × 29,699.84
  4. Step 4: Simplify right side
    64,790.40x = 2,885,398,855.68
  5. Step 5: Solve for x
    x = 2,885,398,855.68/64,790.40
  6. Step 6: Final answer
    x = 44,534.36

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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.