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Finding the Fourth Proportional to 123,000.48, 184,526.64 and 39,888

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Solution

The fourth proportional to 123,000.48, 184,526.64 and 39,888 is: 59,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,000.48 : 184,526.64 = 39,888 : x
  2. Step 2: Convert to fraction form
    123,000.48/184,526.64 = 39,888/x
  3. Step 3: Cross multiply
    123,000.48x = 184,526.64 × 39,888
  4. Step 4: Simplify right side
    123,000.48x = 7,360,398,616.32
  5. Step 5: Solve for x
    x = 7,360,398,616.32/123,000.48
  6. Step 6: Final answer
    x = 59,840.41

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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.