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Finding the Fourth Proportional to 77,307.54, 106,701.30 and 45,047.48

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Solution

The fourth proportional to 77,307.54, 106,701.30 and 45,047.48 is: 62,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307.54 : 106,701.30 = 45,047.48 : x
  2. Step 2: Convert to fraction form
    77,307.54/106,701.30 = 45,047.48/x
  3. Step 3: Cross multiply
    77,307.54x = 106,701.30 × 45,047.48
  4. Step 4: Simplify right side
    77,307.54x = 4,806,624,144.22
  5. Step 5: Solve for x
    x = 4,806,624,144.22/77,307.54
  6. Step 6: Final answer
    x = 62,175.36

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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.