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Finding the Fourth Proportional to 53,058, 79,574.84 and 23,459.76

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Solution

The fourth proportional to 53,058, 79,574.84 and 23,459.76 is: 35,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,058 : 79,574.84 = 23,459.76 : x
  2. Step 2: Convert to fraction form
    53,058/79,574.84 = 23,459.76/x
  3. Step 3: Cross multiply
    53,058x = 79,574.84 × 23,459.76
  4. Step 4: Simplify right side
    53,058x = 1,866,806,648.44
  5. Step 5: Solve for x
    x = 1,866,806,648.44/53,058
  6. Step 6: Final answer
    x = 35,184.26

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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.