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Finding the Fourth Proportional to 52,438.32, 72,356.76 and 30,078

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Solution

The fourth proportional to 52,438.32, 72,356.76 and 30,078 is: 41,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438.32 : 72,356.76 = 30,078 : x
  2. Step 2: Convert to fraction form
    52,438.32/72,356.76 = 30,078/x
  3. Step 3: Cross multiply
    52,438.32x = 72,356.76 × 30,078
  4. Step 4: Simplify right side
    52,438.32x = 2,176,346,627.28
  5. Step 5: Solve for x
    x = 2,176,346,627.28/52,438.32
  6. Step 6: Final answer
    x = 41,502.98

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