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Finding the Fourth Proportional to 52,348, 78,547.20 and 26,055.04

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Solution

The fourth proportional to 52,348, 78,547.20 and 26,055.04 is: 39,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348 : 78,547.20 = 26,055.04 : x
  2. Step 2: Convert to fraction form
    52,348/78,547.20 = 26,055.04/x
  3. Step 3: Cross multiply
    52,348x = 78,547.20 × 26,055.04
  4. Step 4: Simplify right side
    52,348x = 2,046,550,437.89
  5. Step 5: Solve for x
    x = 2,046,550,437.89/52,348
  6. Step 6: Final answer
    x = 39,095.10

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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.