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Finding the Fourth Proportional to 65,058.93, 89,782.02 and 38,201.76

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Solution

The fourth proportional to 65,058.93, 89,782.02 and 38,201.76 is: 52,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,058.93 : 89,782.02 = 38,201.76 : x
  2. Step 2: Convert to fraction form
    65,058.93/89,782.02 = 38,201.76/x
  3. Step 3: Cross multiply
    65,058.93x = 89,782.02 × 38,201.76
  4. Step 4: Simplify right side
    65,058.93x = 3,429,831,180.36
  5. Step 5: Solve for x
    x = 3,429,831,180.36/65,058.93
  6. Step 6: Final answer
    x = 52,718.84

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1.5x scale

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.