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Finding the Fourth Proportional to 92,114.04, 127,117.91 and 51,828.50

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Solution

The fourth proportional to 92,114.04, 127,117.91 and 51,828.50 is: 71,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,114.04 : 127,117.91 = 51,828.50 : x
  2. Step 2: Convert to fraction form
    92,114.04/127,117.91 = 51,828.50/x
  3. Step 3: Cross multiply
    92,114.04x = 127,117.91 × 51,828.50
  4. Step 4: Simplify right side
    92,114.04x = 6,588,329,703.70
  5. Step 5: Solve for x
    x = 6,588,329,703.70/92,114.04
  6. Step 6: Final answer
    x = 71,523.62

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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.