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Finding the Fourth Proportional to 76,239.38, 105,210.35 and 46,431.38

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Solution

The fourth proportional to 76,239.38, 105,210.35 and 46,431.38 is: 64,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,239.38 : 105,210.35 = 46,431.38 : x
  2. Step 2: Convert to fraction form
    76,239.38/105,210.35 = 46,431.38/x
  3. Step 3: Cross multiply
    76,239.38x = 105,210.35 × 46,431.38
  4. Step 4: Simplify right side
    76,239.38x = 4,885,060,982.57
  5. Step 5: Solve for x
    x = 4,885,060,982.57/76,239.38
  6. Step 6: Final answer
    x = 64,075.30

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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.