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Finding the Fourth Proportional to 65,357.50, 90,193.43 and 35,549.50

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Solution

The fourth proportional to 65,357.50, 90,193.43 and 35,549.50 is: 49,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.50 : 90,193.43 = 35,549.50 : x
  2. Step 2: Convert to fraction form
    65,357.50/90,193.43 = 35,549.50/x
  3. Step 3: Cross multiply
    65,357.50x = 90,193.43 × 35,549.50
  4. Step 4: Simplify right side
    65,357.50x = 3,206,331,339.79
  5. Step 5: Solve for x
    x = 3,206,331,339.79/65,357.50
  6. Step 6: Final answer
    x = 49,058.35

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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.