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Finding the Fourth Proportional to 61,560, 84,952.80 and 35,064

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Solution

The fourth proportional to 61,560, 84,952.80 and 35,064 is: 48,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,560 : 84,952.80 = 35,064 : x
  2. Step 2: Convert to fraction form
    61,560/84,952.80 = 35,064/x
  3. Step 3: Cross multiply
    61,560x = 84,952.80 × 35,064
  4. Step 4: Simplify right side
    61,560x = 2,978,784,979.20
  5. Step 5: Solve for x
    x = 2,978,784,979.20/61,560
  6. Step 6: Final answer
    x = 48,388.32

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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.