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Finding the Fourth Proportional to 92,646.48, 127,852.36 and 50,205

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Solution

The fourth proportional to 92,646.48, 127,852.36 and 50,205 is: 69,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646.48 : 127,852.36 = 50,205 : x
  2. Step 2: Convert to fraction form
    92,646.48/127,852.36 = 50,205/x
  3. Step 3: Cross multiply
    92,646.48x = 127,852.36 × 50,205
  4. Step 4: Simplify right side
    92,646.48x = 6,418,827,733.80
  5. Step 5: Solve for x
    x = 6,418,827,733.80/92,646.48
  6. Step 6: Final answer
    x = 69,283.02

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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.