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Finding the Fourth Proportional to 65,205.93, 97,814.12 and 20,838.99

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Solution

The fourth proportional to 65,205.93, 97,814.12 and 20,838.99 is: 31,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.93 : 97,814.12 = 20,838.99 : x
  2. Step 2: Convert to fraction form
    65,205.93/97,814.12 = 20,838.99/x
  3. Step 3: Cross multiply
    65,205.93x = 97,814.12 × 20,838.99
  4. Step 4: Simplify right side
    65,205.93x = 2,038,347,364.34
  5. Step 5: Solve for x
    x = 2,038,347,364.34/65,205.93
  6. Step 6: Final answer
    x = 31,260.15

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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.