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Finding the Fourth Proportional to 38,461.44, 53,075.06 and 21,464.76

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Solution

The fourth proportional to 38,461.44, 53,075.06 and 21,464.76 is: 29,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.44 : 53,075.06 = 21,464.76 : x
  2. Step 2: Convert to fraction form
    38,461.44/53,075.06 = 21,464.76/x
  3. Step 3: Cross multiply
    38,461.44x = 53,075.06 × 21,464.76
  4. Step 4: Simplify right side
    38,461.44x = 1,139,243,424.89
  5. Step 5: Solve for x
    x = 1,139,243,424.89/38,461.44
  6. Step 6: Final answer
    x = 29,620.40

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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.