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Finding the Fourth Proportional to 97,706.98, 134,835.88 and 52,994.98

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Solution

The fourth proportional to 97,706.98, 134,835.88 and 52,994.98 is: 73,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.98 : 134,835.88 = 52,994.98 : x
  2. Step 2: Convert to fraction form
    97,706.98/134,835.88 = 52,994.98/x
  3. Step 3: Cross multiply
    97,706.98x = 134,835.88 × 52,994.98
  4. Step 4: Simplify right side
    97,706.98x = 7,145,624,763.88
  5. Step 5: Solve for x
    x = 7,145,624,763.88/97,706.98
  6. Step 6: Final answer
    x = 73,133.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.