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Finding the Fourth Proportional to 65,098.70, 97,648.08 and 23,535.98

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Solution

The fourth proportional to 65,098.70, 97,648.08 and 23,535.98 is: 35,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098.70 : 97,648.08 = 23,535.98 : x
  2. Step 2: Convert to fraction form
    65,098.70/97,648.08 = 23,535.98/x
  3. Step 3: Cross multiply
    65,098.70x = 97,648.08 × 23,535.98
  4. Step 4: Simplify right side
    65,098.70x = 2,298,243,257.92
  5. Step 5: Solve for x
    x = 2,298,243,257.92/65,098.70
  6. Step 6: Final answer
    x = 35,303.98

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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.