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Finding the Fourth Proportional to 82,429.16, 113,746.14 and 46,125.84

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Solution

The fourth proportional to 82,429.16, 113,746.14 and 46,125.84 is: 63,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,429.16 : 113,746.14 = 46,125.84 : x
  2. Step 2: Convert to fraction form
    82,429.16/113,746.14 = 46,125.84/x
  3. Step 3: Cross multiply
    82,429.16x = 113,746.14 × 46,125.84
  4. Step 4: Simplify right side
    82,429.16x = 5,246,636,254.26
  5. Step 5: Solve for x
    x = 5,246,636,254.26/82,429.16
  6. Step 6: Final answer
    x = 63,650.25

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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.