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Finding the Fourth Proportional to 32,707.40, 49,061.10 and 31,094.60

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Solution

The fourth proportional to 32,707.40, 49,061.10 and 31,094.60 is: 46,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707.40 : 49,061.10 = 31,094.60 : x
  2. Step 2: Convert to fraction form
    32,707.40/49,061.10 = 31,094.60/x
  3. Step 3: Cross multiply
    32,707.40x = 49,061.10 × 31,094.60
  4. Step 4: Simplify right side
    32,707.40x = 1,525,535,280.06
  5. Step 5: Solve for x
    x = 1,525,535,280.06/32,707.40
  6. Step 6: Final answer
    x = 46,641.90

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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.