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Finding the Fourth Proportional to 25,283.01, 37,929.92 and 9,700.50

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Solution

The fourth proportional to 25,283.01, 37,929.92 and 9,700.50 is: 14,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,283.01 : 37,929.92 = 9,700.50 : x
  2. Step 2: Convert to fraction form
    25,283.01/37,929.92 = 9,700.50/x
  3. Step 3: Cross multiply
    25,283.01x = 37,929.92 × 9,700.50
  4. Step 4: Simplify right side
    25,283.01x = 367,939,140.46
  5. Step 5: Solve for x
    x = 367,939,140.46/25,283.01
  6. Step 6: Final answer
    x = 14,552.82

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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.