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Finding the Fourth Proportional to 77,441, 106,852.10 and 45,598.28

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Solution

The fourth proportional to 77,441, 106,852.10 and 45,598.28 is: 62,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,441 : 106,852.10 = 45,598.28 : x
  2. Step 2: Convert to fraction form
    77,441/106,852.10 = 45,598.28/x
  3. Step 3: Cross multiply
    77,441x = 106,852.10 × 45,598.28
  4. Step 4: Simplify right side
    77,441x = 4,872,271,974.39
  5. Step 5: Solve for x
    x = 4,872,271,974.39/77,441
  6. Step 6: Final answer
    x = 62,915.92

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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.