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Finding the Fourth Proportional to 32,831.40, 49,239.10 and 9,455.40

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Solution

The fourth proportional to 32,831.40, 49,239.10 and 9,455.40 is: 14,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831.40 : 49,239.10 = 9,455.40 : x
  2. Step 2: Convert to fraction form
    32,831.40/49,239.10 = 9,455.40/x
  3. Step 3: Cross multiply
    32,831.40x = 49,239.10 × 9,455.40
  4. Step 4: Simplify right side
    32,831.40x = 465,575,386.14
  5. Step 5: Solve for x
    x = 465,575,386.14/32,831.40
  6. Step 6: Final answer
    x = 14,180.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.