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Finding the Fourth Proportional to 76,302, 105,271.56 and 46,075.85

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Solution

The fourth proportional to 76,302, 105,271.56 and 46,075.85 is: 63,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302 : 105,271.56 = 46,075.85 : x
  2. Step 2: Convert to fraction form
    76,302/105,271.56 = 46,075.85/x
  3. Step 3: Cross multiply
    76,302x = 105,271.56 × 46,075.85
  4. Step 4: Simplify right side
    76,302x = 4,850,476,081.47
  5. Step 5: Solve for x
    x = 4,850,476,081.47/76,302
  6. Step 6: Final answer
    x = 63,569.45

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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.