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Finding the Fourth Proportional to 84,033, 115,966.76 and 46,307.25

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Solution

The fourth proportional to 84,033, 115,966.76 and 46,307.25 is: 63,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,033 : 115,966.76 = 46,307.25 : x
  2. Step 2: Convert to fraction form
    84,033/115,966.76 = 46,307.25/x
  3. Step 3: Cross multiply
    84,033x = 115,966.76 × 46,307.25
  4. Step 4: Simplify right side
    84,033x = 5,370,101,515.47
  5. Step 5: Solve for x
    x = 5,370,101,515.47/84,033
  6. Step 6: Final answer
    x = 63,904.67

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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.