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Finding the Fourth Proportional to 32,802.36, 49,203.90 and 9,429

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Solution

The fourth proportional to 32,802.36, 49,203.90 and 9,429 is: 14,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.36 : 49,203.90 = 9,429 : x
  2. Step 2: Convert to fraction form
    32,802.36/49,203.90 = 9,429/x
  3. Step 3: Cross multiply
    32,802.36x = 49,203.90 × 9,429
  4. Step 4: Simplify right side
    32,802.36x = 463,943,573.10
  5. Step 5: Solve for x
    x = 463,943,573.10/32,802.36
  6. Step 6: Final answer
    x = 14,143.60

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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.