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Finding the Fourth Proportional to 65,055.84, 97,616.52 and 25,641.24

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Solution

The fourth proportional to 65,055.84, 97,616.52 and 25,641.24 is: 38,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,055.84 : 97,616.52 = 25,641.24 : x
  2. Step 2: Convert to fraction form
    65,055.84/97,616.52 = 25,641.24/x
  3. Step 3: Cross multiply
    65,055.84x = 97,616.52 × 25,641.24
  4. Step 4: Simplify right side
    65,055.84x = 2,503,008,617.28
  5. Step 5: Solve for x
    x = 2,503,008,617.28/65,055.84
  6. Step 6: Final answer
    x = 38,474.77

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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.