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Finding the Fourth Proportional to 46,642.14, 64,365.75 and 25,421.40

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Solution

The fourth proportional to 46,642.14, 64,365.75 and 25,421.40 is: 35,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.14 : 64,365.75 = 25,421.40 : x
  2. Step 2: Convert to fraction form
    46,642.14/64,365.75 = 25,421.40/x
  3. Step 3: Cross multiply
    46,642.14x = 64,365.75 × 25,421.40
  4. Step 4: Simplify right side
    46,642.14x = 1,636,267,477.05
  5. Step 5: Solve for x
    x = 1,636,267,477.05/46,642.14
  6. Step 6: Final answer
    x = 35,081.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.