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Finding the Fourth Proportional to 29,752.80, 44,598.06 and 10,024.54

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Solution

The fourth proportional to 29,752.80, 44,598.06 and 10,024.54 is: 15,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,752.80 : 44,598.06 = 10,024.54 : x
  2. Step 2: Convert to fraction form
    29,752.80/44,598.06 = 10,024.54/x
  3. Step 3: Cross multiply
    29,752.80x = 44,598.06 × 10,024.54
  4. Step 4: Simplify right side
    29,752.80x = 447,075,036.39
  5. Step 5: Solve for x
    x = 447,075,036.39/29,752.80
  6. Step 6: Final answer
    x = 15,026.32

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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.