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Finding the Fourth Proportional to 73,307.80, 109,832.10 and 65,013.40

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Solution

The fourth proportional to 73,307.80, 109,832.10 and 65,013.40 is: 97,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,307.80 : 109,832.10 = 65,013.40 : x
  2. Step 2: Convert to fraction form
    73,307.80/109,832.10 = 65,013.40/x
  3. Step 3: Cross multiply
    73,307.80x = 109,832.10 × 65,013.40
  4. Step 4: Simplify right side
    73,307.80x = 7,140,558,250.14
  5. Step 5: Solve for x
    x = 7,140,558,250.14/73,307.80
  6. Step 6: Final answer
    x = 97,405.16

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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.