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Finding the Fourth Proportional to 103,075.84, 154,574.16 and 36,503.68

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Solution

The fourth proportional to 103,075.84, 154,574.16 and 36,503.68 is: 54,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,075.84 : 154,574.16 = 36,503.68 : x
  2. Step 2: Convert to fraction form
    103,075.84/154,574.16 = 36,503.68/x
  3. Step 3: Cross multiply
    103,075.84x = 154,574.16 × 36,503.68
  4. Step 4: Simplify right side
    103,075.84x = 5,642,525,672.91
  5. Step 5: Solve for x
    x = 5,642,525,672.91/103,075.84
  6. Step 6: Final answer
    x = 54,741.50

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1.5x scale

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.