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Finding the Fourth Proportional to 46,430.01, 64,082.75 and 27,578.07

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Solution

The fourth proportional to 46,430.01, 64,082.75 and 27,578.07 is: 38,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,430.01 : 64,082.75 = 27,578.07 : x
  2. Step 2: Convert to fraction form
    46,430.01/64,082.75 = 27,578.07/x
  3. Step 3: Cross multiply
    46,430.01x = 64,082.75 × 27,578.07
  4. Step 4: Simplify right side
    46,430.01x = 1,767,278,427.40
  5. Step 5: Solve for x
    x = 1,767,278,427.40/46,430.01
  6. Step 6: Final answer
    x = 38,063.28

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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.