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Finding the Fourth Proportional to 53,541.64, 73,922.14 and 34,430

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Solution

The fourth proportional to 53,541.64, 73,922.14 and 34,430 is: 47,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,541.64 : 73,922.14 = 34,430 : x
  2. Step 2: Convert to fraction form
    53,541.64/73,922.14 = 34,430/x
  3. Step 3: Cross multiply
    53,541.64x = 73,922.14 × 34,430
  4. Step 4: Simplify right side
    53,541.64x = 2,545,139,280.20
  5. Step 5: Solve for x
    x = 2,545,139,280.20/53,541.64
  6. Step 6: Final answer
    x = 47,535.70

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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.