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Finding the Fourth Proportional to 38,632, 53,312.16 and 20,968

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Solution

The fourth proportional to 38,632, 53,312.16 and 20,968 is: 28,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632 : 53,312.16 = 20,968 : x
  2. Step 2: Convert to fraction form
    38,632/53,312.16 = 20,968/x
  3. Step 3: Cross multiply
    38,632x = 53,312.16 × 20,968
  4. Step 4: Simplify right side
    38,632x = 1,117,849,370.88
  5. Step 5: Solve for x
    x = 1,117,849,370.88/38,632
  6. Step 6: Final answer
    x = 28,935.84

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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.