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Finding the Fourth Proportional to 42,051.24, 63,075 and 10,460.64

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Solution

The fourth proportional to 42,051.24, 63,075 and 10,460.64 is: 15,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,051.24 : 63,075 = 10,460.64 : x
  2. Step 2: Convert to fraction form
    42,051.24/63,075 = 10,460.64/x
  3. Step 3: Cross multiply
    42,051.24x = 63,075 × 10,460.64
  4. Step 4: Simplify right side
    42,051.24x = 659,804,868
  5. Step 5: Solve for x
    x = 659,804,868/42,051.24
  6. Step 6: Final answer
    x = 15,690.50

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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.