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Finding the Fourth Proportional to 75,904.32, 104,744.16 and 42,363.84

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Solution

The fourth proportional to 75,904.32, 104,744.16 and 42,363.84 is: 58,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,904.32 : 104,744.16 = 42,363.84 : x
  2. Step 2: Convert to fraction form
    75,904.32/104,744.16 = 42,363.84/x
  3. Step 3: Cross multiply
    75,904.32x = 104,744.16 × 42,363.84
  4. Step 4: Simplify right side
    75,904.32x = 4,437,364,835.17
  5. Step 5: Solve for x
    x = 4,437,364,835.17/75,904.32
  6. Step 6: Final answer
    x = 58,459.98

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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.