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Finding the Fourth Proportional to 65,713.32, 90,684.32 and 35,498.63

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Solution

The fourth proportional to 65,713.32, 90,684.32 and 35,498.63 is: 48,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.32 : 90,684.32 = 35,498.63 : x
  2. Step 2: Convert to fraction form
    65,713.32/90,684.32 = 35,498.63/x
  3. Step 3: Cross multiply
    65,713.32x = 90,684.32 × 35,498.63
  4. Step 4: Simplify right side
    65,713.32x = 3,219,169,016.49
  5. Step 5: Solve for x
    x = 3,219,169,016.49/65,713.32
  6. Step 6: Final answer
    x = 48,988.08

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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.