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Finding the Fourth Proportional to 70,258.64, 96,956.84 and 38,427.80

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Solution

The fourth proportional to 70,258.64, 96,956.84 and 38,427.80 is: 53,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,258.64 : 96,956.84 = 38,427.80 : x
  2. Step 2: Convert to fraction form
    70,258.64/96,956.84 = 38,427.80/x
  3. Step 3: Cross multiply
    70,258.64x = 96,956.84 × 38,427.80
  4. Step 4: Simplify right side
    70,258.64x = 3,725,838,056.15
  5. Step 5: Solve for x
    x = 3,725,838,056.15/70,258.64
  6. Step 6: Final answer
    x = 53,030.32

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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.