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Finding the Fourth Proportional to 31,590,410, 47,385,615 and 7,655,882

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Solution

The fourth proportional to 31,590,410, 47,385,615 and 7,655,882 is: 11,483,823

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590,410 : 47,385,615 = 7,655,882 : x
  2. Step 2: Convert to fraction form
    31,590,410/47,385,615 = 7,655,882/x
  3. Step 3: Cross multiply
    31,590,410x = 47,385,615 × 7,655,882
  4. Step 4: Simplify right side
    31,590,410x = 362,778,676,937,430
  5. Step 5: Solve for x
    x = 362,778,676,937,430/31,590,410
  6. Step 6: Final answer
    x = 11,483,823

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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.