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Finding the Fourth Proportional to 64,840.80, 97,304.40 and 29,762.40

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Solution

The fourth proportional to 64,840.80, 97,304.40 and 29,762.40 is: 44,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,840.80 : 97,304.40 = 29,762.40 : x
  2. Step 2: Convert to fraction form
    64,840.80/97,304.40 = 29,762.40/x
  3. Step 3: Cross multiply
    64,840.80x = 97,304.40 × 29,762.40
  4. Step 4: Simplify right side
    64,840.80x = 2,896,012,474.56
  5. Step 5: Solve for x
    x = 2,896,012,474.56/64,840.80
  6. Step 6: Final answer
    x = 44,663.43

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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.