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Finding the Fourth Proportional to 82,706.90, 114,132.02 and 46,899.32

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Solution

The fourth proportional to 82,706.90, 114,132.02 and 46,899.32 is: 64,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.90 : 114,132.02 = 46,899.32 : x
  2. Step 2: Convert to fraction form
    82,706.90/114,132.02 = 46,899.32/x
  3. Step 3: Cross multiply
    82,706.90x = 114,132.02 × 46,899.32
  4. Step 4: Simplify right side
    82,706.90x = 5,352,714,128.23
  5. Step 5: Solve for x
    x = 5,352,714,128.23/82,706.90
  6. Step 6: Final answer
    x = 64,719.08

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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.