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Finding the Fourth Proportional to 61,467.84, 84,647.16 and 53,397.84

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Solution

The fourth proportional to 61,467.84, 84,647.16 and 53,397.84 is: 73,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,467.84 : 84,647.16 = 53,397.84 : x
  2. Step 2: Convert to fraction form
    61,467.84/84,647.16 = 53,397.84/x
  3. Step 3: Cross multiply
    61,467.84x = 84,647.16 × 53,397.84
  4. Step 4: Simplify right side
    61,467.84x = 4,519,975,506.13
  5. Step 5: Solve for x
    x = 4,519,975,506.13/61,467.84
  6. Step 6: Final answer
    x = 73,533.99

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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.