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Finding the Fourth Proportional to 31,053.84, 46,585.42 and 14,415.58

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Solution

The fourth proportional to 31,053.84, 46,585.42 and 14,415.58 is: 21,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.84 : 46,585.42 = 14,415.58 : x
  2. Step 2: Convert to fraction form
    31,053.84/46,585.42 = 14,415.58/x
  3. Step 3: Cross multiply
    31,053.84x = 46,585.42 × 14,415.58
  4. Step 4: Simplify right side
    31,053.84x = 671,555,848.84
  5. Step 5: Solve for x
    x = 671,555,848.84/31,053.84
  6. Step 6: Final answer
    x = 21,625.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.