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Finding the Fourth Proportional to 97,807.72, 134,974.74 and 53,095.72

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Solution

The fourth proportional to 97,807.72, 134,974.74 and 53,095.72 is: 73,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807.72 : 134,974.74 = 53,095.72 : x
  2. Step 2: Convert to fraction form
    97,807.72/134,974.74 = 53,095.72/x
  3. Step 3: Cross multiply
    97,807.72x = 134,974.74 × 53,095.72
  4. Step 4: Simplify right side
    97,807.72x = 7,166,581,002.11
  5. Step 5: Solve for x
    x = 7,166,581,002.11/97,807.72
  6. Step 6: Final answer
    x = 73,272.14

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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.