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Finding the Fourth Proportional to 46,461.88, 64,143.92 and 30,592.40

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Solution

The fourth proportional to 46,461.88, 64,143.92 and 30,592.40 is: 42,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,461.88 : 64,143.92 = 30,592.40 : x
  2. Step 2: Convert to fraction form
    46,461.88/64,143.92 = 30,592.40/x
  3. Step 3: Cross multiply
    46,461.88x = 64,143.92 × 30,592.40
  4. Step 4: Simplify right side
    46,461.88x = 1,962,316,458.21
  5. Step 5: Solve for x
    x = 1,962,316,458.21/46,461.88
  6. Step 6: Final answer
    x = 42,234.98

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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.