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Finding the Fourth Proportional to 47,417.15, 65,444.84 and 30,442.84

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Solution

The fourth proportional to 47,417.15, 65,444.84 and 30,442.84 is: 42,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,417.15 : 65,444.84 = 30,442.84 : x
  2. Step 2: Convert to fraction form
    47,417.15/65,444.84 = 30,442.84/x
  3. Step 3: Cross multiply
    47,417.15x = 65,444.84 × 30,442.84
  4. Step 4: Simplify right side
    47,417.15x = 1,992,326,705.44
  5. Step 5: Solve for x
    x = 1,992,326,705.44/47,417.15
  6. Step 6: Final answer
    x = 42,017.00

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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.