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Finding the Fourth Proportional to 35,613.13, 53,382.03 and 13,416.91

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Solution

The fourth proportional to 35,613.13, 53,382.03 and 13,416.91 is: 20,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613.13 : 53,382.03 = 13,416.91 : x
  2. Step 2: Convert to fraction form
    35,613.13/53,382.03 = 13,416.91/x
  3. Step 3: Cross multiply
    35,613.13x = 53,382.03 × 13,416.91
  4. Step 4: Simplify right side
    35,613.13x = 716,221,892.13
  5. Step 5: Solve for x
    x = 716,221,892.13/35,613.13
  6. Step 6: Final answer
    x = 20,111.18

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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.