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Finding the Fourth Proportional to 46,466.76, 64,075.14 and 33,024

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Solution

The fourth proportional to 46,466.76, 64,075.14 and 33,024 is: 45,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466.76 : 64,075.14 = 33,024 : x
  2. Step 2: Convert to fraction form
    46,466.76/64,075.14 = 33,024/x
  3. Step 3: Cross multiply
    46,466.76x = 64,075.14 × 33,024
  4. Step 4: Simplify right side
    46,466.76x = 2,116,017,423.36
  5. Step 5: Solve for x
    x = 2,116,017,423.36/46,466.76
  6. Step 6: Final answer
    x = 45,538.30

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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.