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Finding the Fourth Proportional to 64,827.01, 89,461.14 and 35,019.01

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Solution

The fourth proportional to 64,827.01, 89,461.14 and 35,019.01 is: 48,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827.01 : 89,461.14 = 35,019.01 : x
  2. Step 2: Convert to fraction form
    64,827.01/89,461.14 = 35,019.01/x
  3. Step 3: Cross multiply
    64,827.01x = 89,461.14 × 35,019.01
  4. Step 4: Simplify right side
    64,827.01x = 3,132,840,556.27
  5. Step 5: Solve for x
    x = 3,132,840,556.27/64,827.01
  6. Step 6: Final answer
    x = 48,326.16

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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.