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Finding the Fourth Proportional to 38,707.84, 58,070.40 and 11,008

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Solution

The fourth proportional to 38,707.84, 58,070.40 and 11,008 is: 16,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707.84 : 58,070.40 = 11,008 : x
  2. Step 2: Convert to fraction form
    38,707.84/58,070.40 = 11,008/x
  3. Step 3: Cross multiply
    38,707.84x = 58,070.40 × 11,008
  4. Step 4: Simplify right side
    38,707.84x = 639,238,963.20
  5. Step 5: Solve for x
    x = 639,238,963.20/38,707.84
  6. Step 6: Final answer
    x = 16,514.46

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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.