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Finding the Fourth Proportional to 46,218, 63,776 and 34,124.92

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Solution

The fourth proportional to 46,218, 63,776 and 34,124.92 is: 47,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,218 : 63,776 = 34,124.92 : x
  2. Step 2: Convert to fraction form
    46,218/63,776 = 34,124.92/x
  3. Step 3: Cross multiply
    46,218x = 63,776 × 34,124.92
  4. Step 4: Simplify right side
    46,218x = 2,176,350,897.92
  5. Step 5: Solve for x
    x = 2,176,350,897.92/46,218
  6. Step 6: Final answer
    x = 47,088.82

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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.