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Finding the Fourth Proportional to 75,058, 103,580.04 and 41,526.16

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Solution

The fourth proportional to 75,058, 103,580.04 and 41,526.16 is: 57,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,058 : 103,580.04 = 41,526.16 : x
  2. Step 2: Convert to fraction form
    75,058/103,580.04 = 41,526.16/x
  3. Step 3: Cross multiply
    75,058x = 103,580.04 × 41,526.16
  4. Step 4: Simplify right side
    75,058x = 4,301,281,313.85
  5. Step 5: Solve for x
    x = 4,301,281,313.85/75,058
  6. Step 6: Final answer
    x = 57,306.10

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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.