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Finding the Fourth Proportional to 123,280.79, 184,926.47 and 48,417.16

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Solution

The fourth proportional to 123,280.79, 184,926.47 and 48,417.16 is: 72,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,280.79 : 184,926.47 = 48,417.16 : x
  2. Step 2: Convert to fraction form
    123,280.79/184,926.47 = 48,417.16/x
  3. Step 3: Cross multiply
    123,280.79x = 184,926.47 × 48,417.16
  4. Step 4: Simplify right side
    123,280.79x = 8,953,614,486.23
  5. Step 5: Solve for x
    x = 8,953,614,486.23/123,280.79
  6. Step 6: Final answer
    x = 72,627.82

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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.