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Finding the Fourth Proportional to 92,492.65, 127,645.64 and 52,213.23

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Solution

The fourth proportional to 92,492.65, 127,645.64 and 52,213.23 is: 72,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,492.65 : 127,645.64 = 52,213.23 : x
  2. Step 2: Convert to fraction form
    92,492.65/127,645.64 = 52,213.23/x
  3. Step 3: Cross multiply
    92,492.65x = 127,645.64 × 52,213.23
  4. Step 4: Simplify right side
    92,492.65x = 6,664,791,159.82
  5. Step 5: Solve for x
    x = 6,664,791,159.82/92,492.65
  6. Step 6: Final answer
    x = 72,057.52

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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.