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Finding the Fourth Proportional to 65,232.80, 97,784.40 and 31,925.60

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Solution

The fourth proportional to 65,232.80, 97,784.40 and 31,925.60 is: 47,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.80 : 97,784.40 = 31,925.60 : x
  2. Step 2: Convert to fraction form
    65,232.80/97,784.40 = 31,925.60/x
  3. Step 3: Cross multiply
    65,232.80x = 97,784.40 × 31,925.60
  4. Step 4: Simplify right side
    65,232.80x = 3,121,825,640.64
  5. Step 5: Solve for x
    x = 3,121,825,640.64/65,232.80
  6. Step 6: Final answer
    x = 47,856.69

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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.