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Finding the Fourth Proportional to 35,497.60, 53,227.20 and 14,697.60

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Solution

The fourth proportional to 35,497.60, 53,227.20 and 14,697.60 is: 22,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.60 : 53,227.20 = 14,697.60 : x
  2. Step 2: Convert to fraction form
    35,497.60/53,227.20 = 14,697.60/x
  3. Step 3: Cross multiply
    35,497.60x = 53,227.20 × 14,697.60
  4. Step 4: Simplify right side
    35,497.60x = 782,312,094.72
  5. Step 5: Solve for x
    x = 782,312,094.72/35,497.60
  6. Step 6: Final answer
    x = 22,038.45

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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.