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Finding the Fourth Proportional to 65,215.91, 97,646.01 and 49,373.01

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Solution

The fourth proportional to 65,215.91, 97,646.01 and 49,373.01 is: 73,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215.91 : 97,646.01 = 49,373.01 : x
  2. Step 2: Convert to fraction form
    65,215.91/97,646.01 = 49,373.01/x
  3. Step 3: Cross multiply
    65,215.91x = 97,646.01 × 49,373.01
  4. Step 4: Simplify right side
    65,215.91x = 4,821,077,428.19
  5. Step 5: Solve for x
    x = 4,821,077,428.19/65,215.91
  6. Step 6: Final answer
    x = 73,924.87

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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.