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Finding the Fourth Proportional to 64,534.02, 96,807 and 25,094.10

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Solution

The fourth proportional to 64,534.02, 96,807 and 25,094.10 is: 37,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,534.02 : 96,807 = 25,094.10 : x
  2. Step 2: Convert to fraction form
    64,534.02/96,807 = 25,094.10/x
  3. Step 3: Cross multiply
    64,534.02x = 96,807 × 25,094.10
  4. Step 4: Simplify right side
    64,534.02x = 2,429,284,538.70
  5. Step 5: Solve for x
    x = 2,429,284,538.70/64,534.02
  6. Step 6: Final answer
    x = 37,643.47

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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.