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Finding the Fourth Proportional to 53,219, 73,441.41 and 29,345.06

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Solution

The fourth proportional to 53,219, 73,441.41 and 29,345.06 is: 40,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,219 : 73,441.41 = 29,345.06 : x
  2. Step 2: Convert to fraction form
    53,219/73,441.41 = 29,345.06/x
  3. Step 3: Cross multiply
    53,219x = 73,441.41 × 29,345.06
  4. Step 4: Simplify right side
    53,219x = 2,155,142,582.93
  5. Step 5: Solve for x
    x = 2,155,142,582.93/53,219
  6. Step 6: Final answer
    x = 40,495.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.