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Finding the Fourth Proportional to 46,075.56, 69,029.40 and 32,005.84

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Solution

The fourth proportional to 46,075.56, 69,029.40 and 32,005.84 is: 47,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,075.56 : 69,029.40 = 32,005.84 : x
  2. Step 2: Convert to fraction form
    46,075.56/69,029.40 = 32,005.84/x
  3. Step 3: Cross multiply
    46,075.56x = 69,029.40 × 32,005.84
  4. Step 4: Simplify right side
    46,075.56x = 2,209,343,931.70
  5. Step 5: Solve for x
    x = 2,209,343,931.70/46,075.56
  6. Step 6: Final answer
    x = 47,950.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.