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Finding the Fourth Proportional to 38,442.21, 53,050.64 and 21,448

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Solution

The fourth proportional to 38,442.21, 53,050.64 and 21,448 is: 29,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.21 : 53,050.64 = 21,448 : x
  2. Step 2: Convert to fraction form
    38,442.21/53,050.64 = 21,448/x
  3. Step 3: Cross multiply
    38,442.21x = 53,050.64 × 21,448
  4. Step 4: Simplify right side
    38,442.21x = 1,137,830,126.72
  5. Step 5: Solve for x
    x = 1,137,830,126.72/38,442.21
  6. Step 6: Final answer
    x = 29,598.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.