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Finding the Fourth Proportional to 49,878.16, 74,829.44 and 16,598.16

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Solution

The fourth proportional to 49,878.16, 74,829.44 and 16,598.16 is: 24,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878.16 : 74,829.44 = 16,598.16 : x
  2. Step 2: Convert to fraction form
    49,878.16/74,829.44 = 16,598.16/x
  3. Step 3: Cross multiply
    49,878.16x = 74,829.44 × 16,598.16
  4. Step 4: Simplify right side
    49,878.16x = 1,242,031,017.83
  5. Step 5: Solve for x
    x = 1,242,031,017.83/49,878.16
  6. Step 6: Final answer
    x = 24,901.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.