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Finding the Fourth Proportional to 46,643.72, 64,368.42 and 25,423

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Solution

The fourth proportional to 46,643.72, 64,368.42 and 25,423 is: 35,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.72 : 64,368.42 = 25,423 : x
  2. Step 2: Convert to fraction form
    46,643.72/64,368.42 = 25,423/x
  3. Step 3: Cross multiply
    46,643.72x = 64,368.42 × 25,423
  4. Step 4: Simplify right side
    46,643.72x = 1,636,438,341.66
  5. Step 5: Solve for x
    x = 1,636,438,341.66/46,643.72
  6. Step 6: Final answer
    x = 35,083.79

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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.