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Finding the Fourth Proportional to 35,130.52, 52,695.78 and 14,354

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Solution

The fourth proportional to 35,130.52, 52,695.78 and 14,354 is: 21,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,130.52 : 52,695.78 = 14,354 : x
  2. Step 2: Convert to fraction form
    35,130.52/52,695.78 = 14,354/x
  3. Step 3: Cross multiply
    35,130.52x = 52,695.78 × 14,354
  4. Step 4: Simplify right side
    35,130.52x = 756,395,226.12
  5. Step 5: Solve for x
    x = 756,395,226.12/35,130.52
  6. Step 6: Final answer
    x = 21,531.00

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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.