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Finding the Fourth Proportional to 70,842.06, 97,749.18 and 42,548.22

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Solution

The fourth proportional to 70,842.06, 97,749.18 and 42,548.22 is: 58,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.06 : 97,749.18 = 42,548.22 : x
  2. Step 2: Convert to fraction form
    70,842.06/97,749.18 = 42,548.22/x
  3. Step 3: Cross multiply
    70,842.06x = 97,749.18 × 42,548.22
  4. Step 4: Simplify right side
    70,842.06x = 4,159,053,615.46
  5. Step 5: Solve for x
    x = 4,159,053,615.46/70,842.06
  6. Step 6: Final answer
    x = 58,708.82

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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.