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Finding the Fourth Proportional to 64,567.44, 96,851.16 and 22,985.28

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Solution

The fourth proportional to 64,567.44, 96,851.16 and 22,985.28 is: 34,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,567.44 : 96,851.16 = 22,985.28 : x
  2. Step 2: Convert to fraction form
    64,567.44/96,851.16 = 22,985.28/x
  3. Step 3: Cross multiply
    64,567.44x = 96,851.16 × 22,985.28
  4. Step 4: Simplify right side
    64,567.44x = 2,226,151,030.92
  5. Step 5: Solve for x
    x = 2,226,151,030.92/64,567.44
  6. Step 6: Final answer
    x = 34,477.92

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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.