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Finding the Fourth Proportional to 49,968, 74,956.32 and 13,032

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Solution

The fourth proportional to 49,968, 74,956.32 and 13,032 is: 19,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,968 : 74,956.32 = 13,032 : x
  2. Step 2: Convert to fraction form
    49,968/74,956.32 = 13,032/x
  3. Step 3: Cross multiply
    49,968x = 74,956.32 × 13,032
  4. Step 4: Simplify right side
    49,968x = 976,830,762.24
  5. Step 5: Solve for x
    x = 976,830,762.24/49,968
  6. Step 6: Final answer
    x = 19,549.13

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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.