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Finding the Fourth Proportional to 35,482.32, 53,219.28 and 9,184.98

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Solution

The fourth proportional to 35,482.32, 53,219.28 and 9,184.98 is: 13,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482.32 : 53,219.28 = 9,184.98 : x
  2. Step 2: Convert to fraction form
    35,482.32/53,219.28 = 9,184.98/x
  3. Step 3: Cross multiply
    35,482.32x = 53,219.28 × 9,184.98
  4. Step 4: Simplify right side
    35,482.32x = 488,818,022.41
  5. Step 5: Solve for x
    x = 488,818,022.41/35,482.32
  6. Step 6: Final answer
    x = 13,776.38

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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.