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Finding the Fourth Proportional to 82,655.64, 114,050.70 and 46,838.25

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Solution

The fourth proportional to 82,655.64, 114,050.70 and 46,838.25 is: 64,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,655.64 : 114,050.70 = 46,838.25 : x
  2. Step 2: Convert to fraction form
    82,655.64/114,050.70 = 46,838.25/x
  3. Step 3: Cross multiply
    82,655.64x = 114,050.70 × 46,838.25
  4. Step 4: Simplify right side
    82,655.64x = 5,341,935,199.28
  5. Step 5: Solve for x
    x = 5,341,935,199.28/82,655.64
  6. Step 6: Final answer
    x = 64,628.80

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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.