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Finding the Fourth Proportional to 21,031.80, 31,547.70 and 20,059.80

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Solution

The fourth proportional to 21,031.80, 31,547.70 and 20,059.80 is: 30,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.80 : 31,547.70 = 20,059.80 : x
  2. Step 2: Convert to fraction form
    21,031.80/31,547.70 = 20,059.80/x
  3. Step 3: Cross multiply
    21,031.80x = 31,547.70 × 20,059.80
  4. Step 4: Simplify right side
    21,031.80x = 632,840,552.46
  5. Step 5: Solve for x
    x = 632,840,552.46/21,031.80
  6. Step 6: Final answer
    x = 30,089.70

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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.