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Finding the Fourth Proportional to 49,970.60, 74,955.90 and 13,034.60

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Solution

The fourth proportional to 49,970.60, 74,955.90 and 13,034.60 is: 19,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970.60 : 74,955.90 = 13,034.60 : x
  2. Step 2: Convert to fraction form
    49,970.60/74,955.90 = 13,034.60/x
  3. Step 3: Cross multiply
    49,970.60x = 74,955.90 × 13,034.60
  4. Step 4: Simplify right side
    49,970.60x = 977,020,174.14
  5. Step 5: Solve for x
    x = 977,020,174.14/49,970.60
  6. Step 6: Final answer
    x = 19,551.90

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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.