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Finding the Fourth Proportional to 43,097.52, 64,646.32 and 11,507.66

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Solution

The fourth proportional to 43,097.52, 64,646.32 and 11,507.66 is: 17,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,097.52 : 64,646.32 = 11,507.66 : x
  2. Step 2: Convert to fraction form
    43,097.52/64,646.32 = 11,507.66/x
  3. Step 3: Cross multiply
    43,097.52x = 64,646.32 × 11,507.66
  4. Step 4: Simplify right side
    43,097.52x = 743,927,870.81
  5. Step 5: Solve for x
    x = 743,927,870.81/43,097.52
  6. Step 6: Final answer
    x = 17,261.50

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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.