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Finding the Fourth Proportional to 35,492.64, 48,999.54 and 25,923

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Solution

The fourth proportional to 35,492.64, 48,999.54 and 25,923 is: 35,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,492.64 : 48,999.54 = 25,923 : x
  2. Step 2: Convert to fraction form
    35,492.64/48,999.54 = 25,923/x
  3. Step 3: Cross multiply
    35,492.64x = 48,999.54 × 25,923
  4. Step 4: Simplify right side
    35,492.64x = 1,270,215,075.42
  5. Step 5: Solve for x
    x = 1,270,215,075.42/35,492.64
  6. Step 6: Final answer
    x = 35,788.13

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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.