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Finding the Fourth Proportional to 65,294.55, 97,941.83 and 30,215.07

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Solution

The fourth proportional to 65,294.55, 97,941.83 and 30,215.07 is: 45,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.55 : 97,941.83 = 30,215.07 : x
  2. Step 2: Convert to fraction form
    65,294.55/97,941.83 = 30,215.07/x
  3. Step 3: Cross multiply
    65,294.55x = 97,941.83 × 30,215.07
  4. Step 4: Simplify right side
    65,294.55x = 2,959,319,098.30
  5. Step 5: Solve for x
    x = 2,959,319,098.30/65,294.55
  6. Step 6: Final answer
    x = 45,322.61

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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.