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Finding the Fourth Proportional to 46,452.51, 64,113.80 and 27,585.99

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Solution

The fourth proportional to 46,452.51, 64,113.80 and 27,585.99 is: 38,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,452.51 : 64,113.80 = 27,585.99 : x
  2. Step 2: Convert to fraction form
    46,452.51/64,113.80 = 27,585.99/x
  3. Step 3: Cross multiply
    46,452.51x = 64,113.80 × 27,585.99
  4. Step 4: Simplify right side
    46,452.51x = 1,768,642,507.73
  5. Step 5: Solve for x
    x = 1,768,642,507.73/46,452.51
  6. Step 6: Final answer
    x = 38,074.21

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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.