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Finding the Fourth Proportional to 32,681.61, 49,021.11 and 9,307.98

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Solution

The fourth proportional to 32,681.61, 49,021.11 and 9,307.98 is: 13,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681.61 : 49,021.11 = 9,307.98 : x
  2. Step 2: Convert to fraction form
    32,681.61/49,021.11 = 9,307.98/x
  3. Step 3: Cross multiply
    32,681.61x = 49,021.11 × 9,307.98
  4. Step 4: Simplify right side
    32,681.61x = 456,287,511.46
  5. Step 5: Solve for x
    x = 456,287,511.46/32,681.61
  6. Step 6: Final answer
    x = 13,961.60

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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.