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Finding the Fourth Proportional to 35,674.88, 53,466 and 14,590.40

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Solution

The fourth proportional to 35,674.88, 53,466 and 14,590.40 is: 21,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.88 : 53,466 = 14,590.40 : x
  2. Step 2: Convert to fraction form
    35,674.88/53,466 = 14,590.40/x
  3. Step 3: Cross multiply
    35,674.88x = 53,466 × 14,590.40
  4. Step 4: Simplify right side
    35,674.88x = 780,090,326.40
  5. Step 5: Solve for x
    x = 780,090,326.40/35,674.88
  6. Step 6: Final answer
    x = 21,866.66

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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.