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Finding the Fourth Proportional to 83,964, 115,870.48 and 46,241.76

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Solution

The fourth proportional to 83,964, 115,870.48 and 46,241.76 is: 63,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,964 : 115,870.48 = 46,241.76 : x
  2. Step 2: Convert to fraction form
    83,964/115,870.48 = 46,241.76/x
  3. Step 3: Cross multiply
    83,964x = 115,870.48 × 46,241.76
  4. Step 4: Simplify right side
    83,964x = 5,358,054,927.24
  5. Step 5: Solve for x
    x = 5,358,054,927.24/83,964
  6. Step 6: Final answer
    x = 63,813.72

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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.