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Finding the Fourth Proportional to 34,675.68, 52,030.80 and 14,959.20

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Solution

The fourth proportional to 34,675.68, 52,030.80 and 14,959.20 is: 22,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,675.68 : 52,030.80 = 14,959.20 : x
  2. Step 2: Convert to fraction form
    34,675.68/52,030.80 = 14,959.20/x
  3. Step 3: Cross multiply
    34,675.68x = 52,030.80 × 14,959.20
  4. Step 4: Simplify right side
    34,675.68x = 778,339,143.36
  5. Step 5: Solve for x
    x = 778,339,143.36/34,675.68
  6. Step 6: Final answer
    x = 22,446.25

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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.