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Finding the Fourth Proportional to 122,762.76, 184,151.92 and 38,526.24

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Solution

The fourth proportional to 122,762.76, 184,151.92 and 38,526.24 is: 57,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,762.76 : 184,151.92 = 38,526.24 : x
  2. Step 2: Convert to fraction form
    122,762.76/184,151.92 = 38,526.24/x
  3. Step 3: Cross multiply
    122,762.76x = 184,151.92 × 38,526.24
  4. Step 4: Simplify right side
    122,762.76x = 7,094,681,066.38
  5. Step 5: Solve for x
    x = 7,094,681,066.38/122,762.76
  6. Step 6: Final answer
    x = 57,791.80

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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.