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Finding the Fourth Proportional to 34,594.50, 51,891.75 and 9,970.50

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Solution

The fourth proportional to 34,594.50, 51,891.75 and 9,970.50 is: 14,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,594.50 : 51,891.75 = 9,970.50 : x
  2. Step 2: Convert to fraction form
    34,594.50/51,891.75 = 9,970.50/x
  3. Step 3: Cross multiply
    34,594.50x = 51,891.75 × 9,970.50
  4. Step 4: Simplify right side
    34,594.50x = 517,386,693.38
  5. Step 5: Solve for x
    x = 517,386,693.38/34,594.50
  6. Step 6: Final answer
    x = 14,955.75

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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.