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Finding the Fourth Proportional to 52,076, 78,267.18 and 43,248.08

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Solution

The fourth proportional to 52,076, 78,267.18 and 43,248.08 is: 64,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076 : 78,267.18 = 43,248.08 : x
  2. Step 2: Convert to fraction form
    52,076/78,267.18 = 43,248.08/x
  3. Step 3: Cross multiply
    52,076x = 78,267.18 × 43,248.08
  4. Step 4: Simplify right side
    52,076x = 3,384,905,262.01
  5. Step 5: Solve for x
    x = 3,384,905,262.01/52,076
  6. Step 6: Final answer
    x = 64,999.33

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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.