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Finding the Fourth Proportional to 32,089.81, 48,117.09 and 9,897.03

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Solution

The fourth proportional to 32,089.81, 48,117.09 and 9,897.03 is: 14,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.81 : 48,117.09 = 9,897.03 : x
  2. Step 2: Convert to fraction form
    32,089.81/48,117.09 = 9,897.03/x
  3. Step 3: Cross multiply
    32,089.81x = 48,117.09 × 9,897.03
  4. Step 4: Simplify right side
    32,089.81x = 476,216,283.24
  5. Step 5: Solve for x
    x = 476,216,283.24/32,089.81
  6. Step 6: Final answer
    x = 14,840.11

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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.