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Finding the Fourth Proportional to 34,038.90, 51,078.33 and 14,315.94

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Solution

The fourth proportional to 34,038.90, 51,078.33 and 14,315.94 is: 21,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038.90 : 51,078.33 = 14,315.94 : x
  2. Step 2: Convert to fraction form
    34,038.90/51,078.33 = 14,315.94/x
  3. Step 3: Cross multiply
    34,038.90x = 51,078.33 × 14,315.94
  4. Step 4: Simplify right side
    34,038.90x = 731,234,307.58
  5. Step 5: Solve for x
    x = 731,234,307.58/34,038.90
  6. Step 6: Final answer
    x = 21,482.31

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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.