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Finding the Fourth Proportional to 65,973.94, 98,961 and 16,054.06

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Solution

The fourth proportional to 65,973.94, 98,961 and 16,054.06 is: 24,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,973.94 : 98,961 = 16,054.06 : x
  2. Step 2: Convert to fraction form
    65,973.94/98,961 = 16,054.06/x
  3. Step 3: Cross multiply
    65,973.94x = 98,961 × 16,054.06
  4. Step 4: Simplify right side
    65,973.94x = 1,588,725,831.66
  5. Step 5: Solve for x
    x = 1,588,725,831.66/65,973.94
  6. Step 6: Final answer
    x = 24,081.11

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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.