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Finding the Fourth Proportional to 38,070.21, 57,118.80 and 17,008.32

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Solution

The fourth proportional to 38,070.21, 57,118.80 and 17,008.32 is: 25,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070.21 : 57,118.80 = 17,008.32 : x
  2. Step 2: Convert to fraction form
    38,070.21/57,118.80 = 17,008.32/x
  3. Step 3: Cross multiply
    38,070.21x = 57,118.80 × 17,008.32
  4. Step 4: Simplify right side
    38,070.21x = 971,494,828.42
  5. Step 5: Solve for x
    x = 971,494,828.42/38,070.21
  6. Step 6: Final answer
    x = 25,518.50

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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.