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Finding the Fourth Proportional to 53,695.50, 74,100.78 and 29,824.40

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Solution

The fourth proportional to 53,695.50, 74,100.78 and 29,824.40 is: 41,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,695.50 : 74,100.78 = 29,824.40 : x
  2. Step 2: Convert to fraction form
    53,695.50/74,100.78 = 29,824.40/x
  3. Step 3: Cross multiply
    53,695.50x = 74,100.78 × 29,824.40
  4. Step 4: Simplify right side
    53,695.50x = 2,210,011,303.03
  5. Step 5: Solve for x
    x = 2,210,011,303.03/53,695.50
  6. Step 6: Final answer
    x = 41,158.22

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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.