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Finding the Fourth Proportional to 61,477.64, 84,840.66 and 34,621.10

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Solution

The fourth proportional to 61,477.64, 84,840.66 and 34,621.10 is: 47,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,477.64 : 84,840.66 = 34,621.10 : x
  2. Step 2: Convert to fraction form
    61,477.64/84,840.66 = 34,621.10/x
  3. Step 3: Cross multiply
    61,477.64x = 84,840.66 × 34,621.10
  4. Step 4: Simplify right side
    61,477.64x = 2,937,276,973.93
  5. Step 5: Solve for x
    x = 2,937,276,973.93/61,477.64
  6. Step 6: Final answer
    x = 47,777.97

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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.