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Finding the Fourth Proportional to 46,857.60, 70,275.83 and 13,570.20

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Solution

The fourth proportional to 46,857.60, 70,275.83 and 13,570.20 is: 20,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,857.60 : 70,275.83 = 13,570.20 : x
  2. Step 2: Convert to fraction form
    46,857.60/70,275.83 = 13,570.20/x
  3. Step 3: Cross multiply
    46,857.60x = 70,275.83 × 13,570.20
  4. Step 4: Simplify right side
    46,857.60x = 953,657,000.42
  5. Step 5: Solve for x
    x = 953,657,000.42/46,857.60
  6. Step 6: Final answer
    x = 20,352.24

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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.