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Finding the Fourth Proportional to 83,030.94, 114,585.22 and 47,226.10

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Solution

The fourth proportional to 83,030.94, 114,585.22 and 47,226.10 is: 65,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.94 : 114,585.22 = 47,226.10 : x
  2. Step 2: Convert to fraction form
    83,030.94/114,585.22 = 47,226.10/x
  3. Step 3: Cross multiply
    83,030.94x = 114,585.22 × 47,226.10
  4. Step 4: Simplify right side
    83,030.94x = 5,411,413,058.24
  5. Step 5: Solve for x
    x = 5,411,413,058.24/83,030.94
  6. Step 6: Final answer
    x = 65,173.45

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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.