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Finding the Fourth Proportional to 72,050, 108,075.48 and 22,802

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Solution

The fourth proportional to 72,050, 108,075.48 and 22,802 is: 34,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,050 : 108,075.48 = 22,802 : x
  2. Step 2: Convert to fraction form
    72,050/108,075.48 = 22,802/x
  3. Step 3: Cross multiply
    72,050x = 108,075.48 × 22,802
  4. Step 4: Simplify right side
    72,050x = 2,464,337,094.96
  5. Step 5: Solve for x
    x = 2,464,337,094.96/72,050
  6. Step 6: Final answer
    x = 34,203.15

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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.