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Finding the Fourth Proportional to 70,853.04, 97,776 and 39,024.92

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Solution

The fourth proportional to 70,853.04, 97,776 and 39,024.92 is: 53,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853.04 : 97,776 = 39,024.92 : x
  2. Step 2: Convert to fraction form
    70,853.04/97,776 = 39,024.92/x
  3. Step 3: Cross multiply
    70,853.04x = 97,776 × 39,024.92
  4. Step 4: Simplify right side
    70,853.04x = 3,815,700,577.92
  5. Step 5: Solve for x
    x = 3,815,700,577.92/70,853.04
  6. Step 6: Final answer
    x = 53,853.73

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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.