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Finding the Fourth Proportional to 47,164, 70,746.48 and 14,332

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Solution

The fourth proportional to 47,164, 70,746.48 and 14,332 is: 21,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164 : 70,746.48 = 14,332 : x
  2. Step 2: Convert to fraction form
    47,164/70,746.48 = 14,332/x
  3. Step 3: Cross multiply
    47,164x = 70,746.48 × 14,332
  4. Step 4: Simplify right side
    47,164x = 1,013,938,551.36
  5. Step 5: Solve for x
    x = 1,013,938,551.36/47,164
  6. Step 6: Final answer
    x = 21,498.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.