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Finding the Fourth Proportional to 32,698.41, 49,064.19 and 14,927.10

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Solution

The fourth proportional to 32,698.41, 49,064.19 and 14,927.10 is: 22,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.41 : 49,064.19 = 14,927.10 : x
  2. Step 2: Convert to fraction form
    32,698.41/49,064.19 = 14,927.10/x
  3. Step 3: Cross multiply
    32,698.41x = 49,064.19 × 14,927.10
  4. Step 4: Simplify right side
    32,698.41x = 732,386,070.55
  5. Step 5: Solve for x
    x = 732,386,070.55/32,698.41
  6. Step 6: Final answer
    x = 22,398.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.