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Finding the Fourth Proportional to 32,097.78, 48,038.40 and 22,923.36

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Solution

The fourth proportional to 32,097.78, 48,038.40 and 22,923.36 is: 34,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.78 : 48,038.40 = 22,923.36 : x
  2. Step 2: Convert to fraction form
    32,097.78/48,038.40 = 22,923.36/x
  3. Step 3: Cross multiply
    32,097.78x = 48,038.40 × 22,923.36
  4. Step 4: Simplify right side
    32,097.78x = 1,101,201,537.02
  5. Step 5: Solve for x
    x = 1,101,201,537.02/32,097.78
  6. Step 6: Final answer
    x = 34,307.72

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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.