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Finding the Fourth Proportional to 73,534.32, 101,482.32 and 41,705.28

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Solution

The fourth proportional to 73,534.32, 101,482.32 and 41,705.28 is: 57,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,534.32 : 101,482.32 = 41,705.28 : x
  2. Step 2: Convert to fraction form
    73,534.32/101,482.32 = 41,705.28/x
  3. Step 3: Cross multiply
    73,534.32x = 101,482.32 × 41,705.28
  4. Step 4: Simplify right side
    73,534.32x = 4,232,348,570.65
  5. Step 5: Solve for x
    x = 4,232,348,570.65/73,534.32
  6. Step 6: Final answer
    x = 57,556.10

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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.