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Finding the Fourth Proportional to 115,262, 172,961.06 and 48,697.84

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Solution

The fourth proportional to 115,262, 172,961.06 and 48,697.84 is: 73,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,262 : 172,961.06 = 48,697.84 : x
  2. Step 2: Convert to fraction form
    115,262/172,961.06 = 48,697.84/x
  3. Step 3: Cross multiply
    115,262x = 172,961.06 × 48,697.84
  4. Step 4: Simplify right side
    115,262x = 8,422,830,026.11
  5. Step 5: Solve for x
    x = 8,422,830,026.11/115,262
  6. Step 6: Final answer
    x = 73,075.52

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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.