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Finding the Fourth Proportional to 59,475, 82,075.50 and 32,979

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Solution

The fourth proportional to 59,475, 82,075.50 and 32,979 is: 45,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,475 : 82,075.50 = 32,979 : x
  2. Step 2: Convert to fraction form
    59,475/82,075.50 = 32,979/x
  3. Step 3: Cross multiply
    59,475x = 82,075.50 × 32,979
  4. Step 4: Simplify right side
    59,475x = 2,706,767,914.50
  5. Step 5: Solve for x
    x = 2,706,767,914.50/59,475
  6. Step 6: Final answer
    x = 45,511.02

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