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Finding the Fourth Proportional to 75,248.90, 103,822.81 and 46,554.78

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Solution

The fourth proportional to 75,248.90, 103,822.81 and 46,554.78 is: 64,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,248.90 : 103,822.81 = 46,554.78 : x
  2. Step 2: Convert to fraction form
    75,248.90/103,822.81 = 46,554.78/x
  3. Step 3: Cross multiply
    75,248.90x = 103,822.81 × 46,554.78
  4. Step 4: Simplify right side
    75,248.90x = 4,833,447,737.35
  5. Step 5: Solve for x
    x = 4,833,447,737.35/75,248.90
  6. Step 6: Final answer
    x = 64,232.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.