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Finding the Fourth Proportional to 65,007.10, 97,364.85 and 53,343.10

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Solution

The fourth proportional to 65,007.10, 97,364.85 and 53,343.10 is: 79,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007.10 : 97,364.85 = 53,343.10 : x
  2. Step 2: Convert to fraction form
    65,007.10/97,364.85 = 53,343.10/x
  3. Step 3: Cross multiply
    65,007.10x = 97,364.85 × 53,343.10
  4. Step 4: Simplify right side
    65,007.10x = 5,193,742,930.04
  5. Step 5: Solve for x
    x = 5,193,742,930.04/65,007.10
  6. Step 6: Final answer
    x = 79,895.01

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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.