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Finding the Fourth Proportional to 97,096.65, 145,731.77 and 49,744.00

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Solution

The fourth proportional to 97,096.65, 145,731.77 and 49,744.00 is: 74,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,096.65 : 145,731.77 = 49,744.00 : x
  2. Step 2: Convert to fraction form
    97,096.65/145,731.77 = 49,744.00/x
  3. Step 3: Cross multiply
    97,096.65x = 145,731.77 × 49,744.00
  4. Step 4: Simplify right side
    97,096.65x = 7,249,280,946.95
  5. Step 5: Solve for x
    x = 7,249,280,946.95/97,096.65
  6. Step 6: Final answer
    x = 74,660.46

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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.