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Finding the Fourth Proportional to 64,842.80, 97,307.40 and 29,764.40

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Solution

The fourth proportional to 64,842.80, 97,307.40 and 29,764.40 is: 44,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842.80 : 97,307.40 = 29,764.40 : x
  2. Step 2: Convert to fraction form
    64,842.80/97,307.40 = 29,764.40/x
  3. Step 3: Cross multiply
    64,842.80x = 97,307.40 × 29,764.40
  4. Step 4: Simplify right side
    64,842.80x = 2,896,296,376.56
  5. Step 5: Solve for x
    x = 2,896,296,376.56/64,842.80
  6. Step 6: Final answer
    x = 44,666.43

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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.