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Finding the Fourth Proportional to 31,852.77, 47,779.16 and 14,302.10

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Solution

The fourth proportional to 31,852.77, 47,779.16 and 14,302.10 is: 21,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.77 : 47,779.16 = 14,302.10 : x
  2. Step 2: Convert to fraction form
    31,852.77/47,779.16 = 14,302.10/x
  3. Step 3: Cross multiply
    31,852.77x = 47,779.16 × 14,302.10
  4. Step 4: Simplify right side
    31,852.77x = 683,342,013.83
  5. Step 5: Solve for x
    x = 683,342,013.83/31,852.77
  6. Step 6: Final answer
    x = 21,453.14

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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.