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Finding the Fourth Proportional to 35,328.72, 53,002.80 and 14,566.80

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Solution

The fourth proportional to 35,328.72, 53,002.80 and 14,566.80 is: 21,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,328.72 : 53,002.80 = 14,566.80 : x
  2. Step 2: Convert to fraction form
    35,328.72/53,002.80 = 14,566.80/x
  3. Step 3: Cross multiply
    35,328.72x = 53,002.80 × 14,566.80
  4. Step 4: Simplify right side
    35,328.72x = 772,081,187.04
  5. Step 5: Solve for x
    x = 772,081,187.04/35,328.72
  6. Step 6: Final answer
    x = 21,854.21

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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.