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Finding the Fourth Proportional to 32,802.14, 49,205.64 and 9,430.40

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Solution

The fourth proportional to 32,802.14, 49,205.64 and 9,430.40 is: 14,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.14 : 49,205.64 = 9,430.40 : x
  2. Step 2: Convert to fraction form
    32,802.14/49,205.64 = 9,430.40/x
  3. Step 3: Cross multiply
    32,802.14x = 49,205.64 × 9,430.40
  4. Step 4: Simplify right side
    32,802.14x = 464,028,867.46
  5. Step 5: Solve for x
    x = 464,028,867.46/32,802.14
  6. Step 6: Final answer
    x = 14,146.30

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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.