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Finding the Fourth Proportional to 105,023.82, 144,931.34 and 57,277.06

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Solution

The fourth proportional to 105,023.82, 144,931.34 and 57,277.06 is: 79,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,023.82 : 144,931.34 = 57,277.06 : x
  2. Step 2: Convert to fraction form
    105,023.82/144,931.34 = 57,277.06/x
  3. Step 3: Cross multiply
    105,023.82x = 144,931.34 × 57,277.06
  4. Step 4: Simplify right side
    105,023.82x = 8,301,241,057.06
  5. Step 5: Solve for x
    x = 8,301,241,057.06/105,023.82
  6. Step 6: Final answer
    x = 79,041.51

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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.