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Finding the Fourth Proportional to 65,225.32, 97,782.72 and 25,810.24

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Solution

The fourth proportional to 65,225.32, 97,782.72 and 25,810.24 is: 38,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.32 : 97,782.72 = 25,810.24 : x
  2. Step 2: Convert to fraction form
    65,225.32/97,782.72 = 25,810.24/x
  3. Step 3: Cross multiply
    65,225.32x = 97,782.72 × 25,810.24
  4. Step 4: Simplify right side
    65,225.32x = 2,523,795,471.05
  5. Step 5: Solve for x
    x = 2,523,795,471.05/65,225.32
  6. Step 6: Final answer
    x = 38,693.49

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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.