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Finding the Fourth Proportional to 46,702.82, 70,054.83 and 15,538.07

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Solution

The fourth proportional to 46,702.82, 70,054.83 and 15,538.07 is: 23,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702.82 : 70,054.83 = 15,538.07 : x
  2. Step 2: Convert to fraction form
    46,702.82/70,054.83 = 15,538.07/x
  3. Step 3: Cross multiply
    46,702.82x = 70,054.83 × 15,538.07
  4. Step 4: Simplify right side
    46,702.82x = 1,088,516,502.10
  5. Step 5: Solve for x
    x = 1,088,516,502.10/46,702.82
  6. Step 6: Final answer
    x = 23,307.30

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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.