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Finding the Fourth Proportional to 46,117.84, 69,186 and 16,537.98

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Solution

The fourth proportional to 46,117.84, 69,186 and 16,537.98 is: 24,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,117.84 : 69,186 = 16,537.98 : x
  2. Step 2: Convert to fraction form
    46,117.84/69,186 = 16,537.98/x
  3. Step 3: Cross multiply
    46,117.84x = 69,186 × 16,537.98
  4. Step 4: Simplify right side
    46,117.84x = 1,144,196,684.28
  5. Step 5: Solve for x
    x = 1,144,196,684.28/46,117.84
  6. Step 6: Final answer
    x = 24,810.28

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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.