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Finding the Fourth Proportional to 65,015.94, 97,537.70 and 22,894.32

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Solution

The fourth proportional to 65,015.94, 97,537.70 and 22,894.32 is: 34,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015.94 : 97,537.70 = 22,894.32 : x
  2. Step 2: Convert to fraction form
    65,015.94/97,537.70 = 22,894.32/x
  3. Step 3: Cross multiply
    65,015.94x = 97,537.70 × 22,894.32
  4. Step 4: Simplify right side
    65,015.94x = 2,233,059,315.86
  5. Step 5: Solve for x
    x = 2,233,059,315.86/65,015.94
  6. Step 6: Final answer
    x = 34,346.34

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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.