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Finding the Fourth Proportional to 65,107.72, 97,661.58 and 23,545

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Solution

The fourth proportional to 65,107.72, 97,661.58 and 23,545 is: 35,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.72 : 97,661.58 = 23,545 : x
  2. Step 2: Convert to fraction form
    65,107.72/97,661.58 = 23,545/x
  3. Step 3: Cross multiply
    65,107.72x = 97,661.58 × 23,545
  4. Step 4: Simplify right side
    65,107.72x = 2,299,441,901.10
  5. Step 5: Solve for x
    x = 2,299,441,901.10/65,107.72
  6. Step 6: Final answer
    x = 35,317.50

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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.