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Finding the Fourth Proportional to 49,017.34, 73,526.01 and 13,957

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Solution

The fourth proportional to 49,017.34, 73,526.01 and 13,957 is: 20,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,017.34 : 73,526.01 = 13,957 : x
  2. Step 2: Convert to fraction form
    49,017.34/73,526.01 = 13,957/x
  3. Step 3: Cross multiply
    49,017.34x = 73,526.01 × 13,957
  4. Step 4: Simplify right side
    49,017.34x = 1,026,202,521.57
  5. Step 5: Solve for x
    x = 1,026,202,521.57/49,017.34
  6. Step 6: Final answer
    x = 20,935.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.