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Finding the Fourth Proportional to 48,987.90, 67,602.06 and 27,767.16

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Solution

The fourth proportional to 48,987.90, 67,602.06 and 27,767.16 is: 38,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,987.90 : 67,602.06 = 27,767.16 : x
  2. Step 2: Convert to fraction form
    48,987.90/67,602.06 = 27,767.16/x
  3. Step 3: Cross multiply
    48,987.90x = 67,602.06 × 27,767.16
  4. Step 4: Simplify right side
    48,987.90x = 1,877,117,216.35
  5. Step 5: Solve for x
    x = 1,877,117,216.35/48,987.90
  6. Step 6: Final answer
    x = 38,317.98

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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.