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Finding the Fourth Proportional to 76,803, 105,988.14 and 41,475

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Solution

The fourth proportional to 76,803, 105,988.14 and 41,475 is: 57,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803 : 105,988.14 = 41,475 : x
  2. Step 2: Convert to fraction form
    76,803/105,988.14 = 41,475/x
  3. Step 3: Cross multiply
    76,803x = 105,988.14 × 41,475
  4. Step 4: Simplify right side
    76,803x = 4,395,858,106.50
  5. Step 5: Solve for x
    x = 4,395,858,106.50/76,803
  6. Step 6: Final answer
    x = 57,235.50

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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.