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Finding the Fourth Proportional to 64,823.42, 97,196.24 and 25,333.50

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Solution

The fourth proportional to 64,823.42, 97,196.24 and 25,333.50 is: 37,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823.42 : 97,196.24 = 25,333.50 : x
  2. Step 2: Convert to fraction form
    64,823.42/97,196.24 = 25,333.50/x
  3. Step 3: Cross multiply
    64,823.42x = 97,196.24 × 25,333.50
  4. Step 4: Simplify right side
    64,823.42x = 2,462,320,946.04
  5. Step 5: Solve for x
    x = 2,462,320,946.04/64,823.42
  6. Step 6: Final answer
    x = 37,985.05

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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.