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Finding the Fourth Proportional to 46,694, 70,041.64 and 15,529.28

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Solution

The fourth proportional to 46,694, 70,041.64 and 15,529.28 is: 23,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694 : 70,041.64 = 15,529.28 : x
  2. Step 2: Convert to fraction form
    46,694/70,041.64 = 15,529.28/x
  3. Step 3: Cross multiply
    46,694x = 70,041.64 × 15,529.28
  4. Step 4: Simplify right side
    46,694x = 1,087,696,239.22
  5. Step 5: Solve for x
    x = 1,087,696,239.22/46,694
  6. Step 6: Final answer
    x = 23,294.13

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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.