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Finding the Fourth Proportional to 120,985.44, 181,477.55 and 31,027.77

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Solution

The fourth proportional to 120,985.44, 181,477.55 and 31,027.77 is: 46,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,985.44 : 181,477.55 = 31,027.77 : x
  2. Step 2: Convert to fraction form
    120,985.44/181,477.55 = 31,027.77/x
  3. Step 3: Cross multiply
    120,985.44x = 181,477.55 × 31,027.77
  4. Step 4: Simplify right side
    120,985.44x = 5,630,843,526.42
  5. Step 5: Solve for x
    x = 5,630,843,526.42/120,985.44
  6. Step 6: Final answer
    x = 46,541.50

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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.