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Finding the Fourth Proportional to 35,715.50, 49,265.16 and 22,985.30

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Solution

The fourth proportional to 35,715.50, 49,265.16 and 22,985.30 is: 31,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715.50 : 49,265.16 = 22,985.30 : x
  2. Step 2: Convert to fraction form
    35,715.50/49,265.16 = 22,985.30/x
  3. Step 3: Cross multiply
    35,715.50x = 49,265.16 × 22,985.30
  4. Step 4: Simplify right side
    35,715.50x = 1,132,374,482.15
  5. Step 5: Solve for x
    x = 1,132,374,482.15/35,715.50
  6. Step 6: Final answer
    x = 31,705.41

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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.