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Finding the Fourth Proportional to 65,235.80, 97,853.70 and 38,970.20

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Solution

The fourth proportional to 65,235.80, 97,853.70 and 38,970.20 is: 58,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.80 : 97,853.70 = 38,970.20 : x
  2. Step 2: Convert to fraction form
    65,235.80/97,853.70 = 38,970.20/x
  3. Step 3: Cross multiply
    65,235.80x = 97,853.70 × 38,970.20
  4. Step 4: Simplify right side
    65,235.80x = 3,813,378,259.74
  5. Step 5: Solve for x
    x = 3,813,378,259.74/65,235.80
  6. Step 6: Final answer
    x = 58,455.30

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1.5x scale

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.