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Finding the Fourth Proportional to 74,416.32, 102,669.12 and 46,111.68

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Solution

The fourth proportional to 74,416.32, 102,669.12 and 46,111.68 is: 63,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416.32 : 102,669.12 = 46,111.68 : x
  2. Step 2: Convert to fraction form
    74,416.32/102,669.12 = 46,111.68/x
  3. Step 3: Cross multiply
    74,416.32x = 102,669.12 × 46,111.68
  4. Step 4: Simplify right side
    74,416.32x = 4,734,245,607.32
  5. Step 5: Solve for x
    x = 4,734,245,607.32/74,416.32
  6. Step 6: Final answer
    x = 63,618.38

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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.