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Finding the Fourth Proportional to 61,547.40, 92,248.20 and 45,946.80

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Solution

The fourth proportional to 61,547.40, 92,248.20 and 45,946.80 is: 68,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,547.40 : 92,248.20 = 45,946.80 : x
  2. Step 2: Convert to fraction form
    61,547.40/92,248.20 = 45,946.80/x
  3. Step 3: Cross multiply
    61,547.40x = 92,248.20 × 45,946.80
  4. Step 4: Simplify right side
    61,547.40x = 4,238,509,595.76
  5. Step 5: Solve for x
    x = 4,238,509,595.76/61,547.40
  6. Step 6: Final answer
    x = 68,865.78

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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.