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Finding the Fourth Proportional to 35,802.75, 49,421.03 and 30,746.60

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Solution

The fourth proportional to 35,802.75, 49,421.03 and 30,746.60 is: 42,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.75 : 49,421.03 = 30,746.60 : x
  2. Step 2: Convert to fraction form
    35,802.75/49,421.03 = 30,746.60/x
  3. Step 3: Cross multiply
    35,802.75x = 49,421.03 × 30,746.60
  4. Step 4: Simplify right side
    35,802.75x = 1,519,528,240.16
  5. Step 5: Solve for x
    x = 1,519,528,240.16/35,802.75
  6. Step 6: Final answer
    x = 42,441.66

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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.