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Finding the Fourth Proportional to 52,046, 78,075.72 and 23,959.28

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Solution

The fourth proportional to 52,046, 78,075.72 and 23,959.28 is: 35,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046 : 78,075.72 = 23,959.28 : x
  2. Step 2: Convert to fraction form
    52,046/78,075.72 = 23,959.28/x
  3. Step 3: Cross multiply
    52,046x = 78,075.72 × 23,959.28
  4. Step 4: Simplify right side
    52,046x = 1,870,638,036.68
  5. Step 5: Solve for x
    x = 1,870,638,036.68/52,046
  6. Step 6: Final answer
    x = 35,942.01

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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.