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Finding the Fourth Proportional to 77,509.76, 106,759.76 and 59,570.48

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Solution

The fourth proportional to 77,509.76, 106,759.76 and 59,570.48 is: 82,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,509.76 : 106,759.76 = 59,570.48 : x
  2. Step 2: Convert to fraction form
    77,509.76/106,759.76 = 59,570.48/x
  3. Step 3: Cross multiply
    77,509.76x = 106,759.76 × 59,570.48
  4. Step 4: Simplify right side
    77,509.76x = 6,359,730,147.88
  5. Step 5: Solve for x
    x = 6,359,730,147.88/77,509.76
  6. Step 6: Final answer
    x = 82,050.70

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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.