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Finding the Fourth Proportional to 46,314, 63,927.90 and 29,547

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Solution

The fourth proportional to 46,314, 63,927.90 and 29,547 is: 40,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314 : 63,927.90 = 29,547 : x
  2. Step 2: Convert to fraction form
    46,314/63,927.90 = 29,547/x
  3. Step 3: Cross multiply
    46,314x = 63,927.90 × 29,547
  4. Step 4: Simplify right side
    46,314x = 1,888,877,661.30
  5. Step 5: Solve for x
    x = 1,888,877,661.30/46,314
  6. Step 6: Final answer
    x = 40,784.16

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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.