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Finding the Fourth Proportional to 82,953.55, 114,485.64 and 47,148.95

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Solution

The fourth proportional to 82,953.55, 114,485.64 and 47,148.95 is: 65,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.55 : 114,485.64 = 47,148.95 : x
  2. Step 2: Convert to fraction form
    82,953.55/114,485.64 = 47,148.95/x
  3. Step 3: Cross multiply
    82,953.55x = 114,485.64 × 47,148.95
  4. Step 4: Simplify right side
    82,953.55x = 5,397,877,825.48
  5. Step 5: Solve for x
    x = 5,397,877,825.48/82,953.55
  6. Step 6: Final answer
    x = 65,071.09

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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.