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Finding the Fourth Proportional to 46,020.32, 69,045.06 and 14,858

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Solution

The fourth proportional to 46,020.32, 69,045.06 and 14,858 is: 22,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,020.32 : 69,045.06 = 14,858 : x
  2. Step 2: Convert to fraction form
    46,020.32/69,045.06 = 14,858/x
  3. Step 3: Cross multiply
    46,020.32x = 69,045.06 × 14,858
  4. Step 4: Simplify right side
    46,020.32x = 1,025,871,501.48
  5. Step 5: Solve for x
    x = 1,025,871,501.48/46,020.32
  6. Step 6: Final answer
    x = 22,291.71

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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.