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Finding the Fourth Proportional to 42,847.68, 64,159.68 and 34,482

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Solution

The fourth proportional to 42,847.68, 64,159.68 and 34,482 is: 51,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,847.68 : 64,159.68 = 34,482 : x
  2. Step 2: Convert to fraction form
    42,847.68/64,159.68 = 34,482/x
  3. Step 3: Cross multiply
    42,847.68x = 64,159.68 × 34,482
  4. Step 4: Simplify right side
    42,847.68x = 2,212,354,085.76
  5. Step 5: Solve for x
    x = 2,212,354,085.76/42,847.68
  6. Step 6: Final answer
    x = 51,633.00

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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.