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Finding the Fourth Proportional to 83,885, 115,762.12 and 46,160.08

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Solution

The fourth proportional to 83,885, 115,762.12 and 46,160.08 is: 63,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,885 : 115,762.12 = 46,160.08 : x
  2. Step 2: Convert to fraction form
    83,885/115,762.12 = 46,160.08/x
  3. Step 3: Cross multiply
    83,885x = 115,762.12 × 46,160.08
  4. Step 4: Simplify right side
    83,885x = 5,343,588,720.17
  5. Step 5: Solve for x
    x = 5,343,588,720.17/83,885
  6. Step 6: Final answer
    x = 63,701.36

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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.