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Finding the Fourth Proportional to 32,946.24, 45,462.72 and 19,513.92

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Solution

The fourth proportional to 32,946.24, 45,462.72 and 19,513.92 is: 26,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.24 : 45,462.72 = 19,513.92 : x
  2. Step 2: Convert to fraction form
    32,946.24/45,462.72 = 19,513.92/x
  3. Step 3: Cross multiply
    32,946.24x = 45,462.72 × 19,513.92
  4. Step 4: Simplify right side
    32,946.24x = 887,155,881.06
  5. Step 5: Solve for x
    x = 887,155,881.06/32,946.24
  6. Step 6: Final answer
    x = 26,927.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.