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Finding the Fourth Proportional to 97,763.49, 134,913.61 and 53,051.49

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Solution

The fourth proportional to 97,763.49, 134,913.61 and 53,051.49 is: 73,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,763.49 : 134,913.61 = 53,051.49 : x
  2. Step 2: Convert to fraction form
    97,763.49/134,913.61 = 53,051.49/x
  3. Step 3: Cross multiply
    97,763.49x = 134,913.61 × 53,051.49
  4. Step 4: Simplify right side
    97,763.49x = 7,157,367,592.17
  5. Step 5: Solve for x
    x = 7,157,367,592.17/97,763.49
  6. Step 6: Final answer
    x = 73,211.05

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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.