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Finding the Fourth Proportional to 74,321.80, 102,596.08 and 45,646.11

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Solution

The fourth proportional to 74,321.80, 102,596.08 and 45,646.11 is: 63,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,321.80 : 102,596.08 = 45,646.11 : x
  2. Step 2: Convert to fraction form
    74,321.80/102,596.08 = 45,646.11/x
  3. Step 3: Cross multiply
    74,321.80x = 102,596.08 × 45,646.11
  4. Step 4: Simplify right side
    74,321.80x = 4,683,111,953.25
  5. Step 5: Solve for x
    x = 4,683,111,953.25/74,321.80
  6. Step 6: Final answer
    x = 63,011.28

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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.