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Finding the Fourth Proportional to 113,443.16, 170,164.74 and 30,335

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Solution

The fourth proportional to 113,443.16, 170,164.74 and 30,335 is: 45,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,443.16 : 170,164.74 = 30,335 : x
  2. Step 2: Convert to fraction form
    113,443.16/170,164.74 = 30,335/x
  3. Step 3: Cross multiply
    113,443.16x = 170,164.74 × 30,335
  4. Step 4: Simplify right side
    113,443.16x = 5,161,947,387.90
  5. Step 5: Solve for x
    x = 5,161,947,387.90/113,443.16
  6. Step 6: Final answer
    x = 45,502.50

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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.