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Finding the Fourth Proportional to 35,319, 48,746.70 and 20,415

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Solution

The fourth proportional to 35,319, 48,746.70 and 20,415 is: 28,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319 : 48,746.70 = 20,415 : x
  2. Step 2: Convert to fraction form
    35,319/48,746.70 = 20,415/x
  3. Step 3: Cross multiply
    35,319x = 48,746.70 × 20,415
  4. Step 4: Simplify right side
    35,319x = 995,163,880.50
  5. Step 5: Solve for x
    x = 995,163,880.50/35,319
  6. Step 6: Final answer
    x = 28,176.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.