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Finding the Fourth Proportional to 34,047, 51,070.14 and 13,285.08

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Solution

The fourth proportional to 34,047, 51,070.14 and 13,285.08 is: 19,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047 : 51,070.14 = 13,285.08 : x
  2. Step 2: Convert to fraction form
    34,047/51,070.14 = 13,285.08/x
  3. Step 3: Cross multiply
    34,047x = 51,070.14 × 13,285.08
  4. Step 4: Simplify right side
    34,047x = 678,470,895.51
  5. Step 5: Solve for x
    x = 678,470,895.51/34,047
  6. Step 6: Final answer
    x = 19,927.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.