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Finding the Fourth Proportional to 82,527, 113,888.64 and 44,801.25

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Solution

The fourth proportional to 82,527, 113,888.64 and 44,801.25 is: 61,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527 : 113,888.64 = 44,801.25 : x
  2. Step 2: Convert to fraction form
    82,527/113,888.64 = 44,801.25/x
  3. Step 3: Cross multiply
    82,527x = 113,888.64 × 44,801.25
  4. Step 4: Simplify right side
    82,527x = 5,102,353,432.80
  5. Step 5: Solve for x
    x = 5,102,353,432.80/82,527
  6. Step 6: Final answer
    x = 61,826.47

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1.5x scale

Why These Related Problems?

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