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Finding the Fourth Proportional to 91,875.50, 137,813.28 and 29,546

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Solution

The fourth proportional to 91,875.50, 137,813.28 and 29,546 is: 44,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,875.50 : 137,813.28 = 29,546 : x
  2. Step 2: Convert to fraction form
    91,875.50/137,813.28 = 29,546/x
  3. Step 3: Cross multiply
    91,875.50x = 137,813.28 × 29,546
  4. Step 4: Simplify right side
    91,875.50x = 4,071,831,170.88
  5. Step 5: Solve for x
    x = 4,071,831,170.88/91,875.50
  6. Step 6: Final answer
    x = 44,319.01

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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.