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Finding the Fourth Proportional to 72,154.80, 99,569.16 and 40,322.88

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Solution

The fourth proportional to 72,154.80, 99,569.16 and 40,322.88 is: 55,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,154.80 : 99,569.16 = 40,322.88 : x
  2. Step 2: Convert to fraction form
    72,154.80/99,569.16 = 40,322.88/x
  3. Step 3: Cross multiply
    72,154.80x = 99,569.16 × 40,322.88
  4. Step 4: Simplify right side
    72,154.80x = 4,014,915,290.38
  5. Step 5: Solve for x
    x = 4,014,915,290.38/72,154.80
  6. Step 6: Final answer
    x = 55,643.08

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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.