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Finding the Fourth Proportional to 64,973.34, 97,484.94 and 22,857.80

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Solution

The fourth proportional to 64,973.34, 97,484.94 and 22,857.80 is: 34,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,973.34 : 97,484.94 = 22,857.80 : x
  2. Step 2: Convert to fraction form
    64,973.34/97,484.94 = 22,857.80/x
  3. Step 3: Cross multiply
    64,973.34x = 97,484.94 × 22,857.80
  4. Step 4: Simplify right side
    64,973.34x = 2,228,290,774.11
  5. Step 5: Solve for x
    x = 2,228,290,774.11/64,973.34
  6. Step 6: Final answer
    x = 34,295.46

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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.