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Finding the Fourth Proportional to 65,502, 90,407.34 and 41,624.01

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Solution

The fourth proportional to 65,502, 90,407.34 and 41,624.01 is: 57,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502 : 90,407.34 = 41,624.01 : x
  2. Step 2: Convert to fraction form
    65,502/90,407.34 = 41,624.01/x
  3. Step 3: Cross multiply
    65,502x = 90,407.34 × 41,624.01
  4. Step 4: Simplify right side
    65,502x = 3,763,116,024.23
  5. Step 5: Solve for x
    x = 3,763,116,024.23/65,502
  6. Step 6: Final answer
    x = 57,450.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.