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Finding the Fourth Proportional to 32,935.22, 49,397.22 and 9,237.32

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Solution

The fourth proportional to 32,935.22, 49,397.22 and 9,237.32 is: 13,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,935.22 : 49,397.22 = 9,237.32 : x
  2. Step 2: Convert to fraction form
    32,935.22/49,397.22 = 9,237.32/x
  3. Step 3: Cross multiply
    32,935.22x = 49,397.22 × 9,237.32
  4. Step 4: Simplify right side
    32,935.22x = 456,297,681.26
  5. Step 5: Solve for x
    x = 456,297,681.26/32,935.22
  6. Step 6: Final answer
    x = 13,854.40

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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.