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Finding the Fourth Proportional to 46,854.32, 70,281.84 and 15,692

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Solution

The fourth proportional to 46,854.32, 70,281.84 and 15,692 is: 23,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854.32 : 70,281.84 = 15,692 : x
  2. Step 2: Convert to fraction form
    46,854.32/70,281.84 = 15,692/x
  3. Step 3: Cross multiply
    46,854.32x = 70,281.84 × 15,692
  4. Step 4: Simplify right side
    46,854.32x = 1,102,862,633.28
  5. Step 5: Solve for x
    x = 1,102,862,633.28/46,854.32
  6. Step 6: Final answer
    x = 23,538.12

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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.