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Finding the Fourth Proportional to 46,058.84, 69,088 and 12,778.56

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Solution

The fourth proportional to 46,058.84, 69,088 and 12,778.56 is: 19,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,058.84 : 69,088 = 12,778.56 : x
  2. Step 2: Convert to fraction form
    46,058.84/69,088 = 12,778.56/x
  3. Step 3: Cross multiply
    46,058.84x = 69,088 × 12,778.56
  4. Step 4: Simplify right side
    46,058.84x = 882,845,153.28
  5. Step 5: Solve for x
    x = 882,845,153.28/46,058.84
  6. Step 6: Final answer
    x = 19,167.77

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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.